A line passes through (2, −1) with slope 3. What is the equation of the line in point-slope form?

Answers

Answer 1

Hint :- The point slope form of the line is [tex] m(x-x_1) = y - y_1[/tex] , where [tex](x_1,x_2)[/tex] is the point and [tex] m [/tex] is the slope of the line .

Solution :- The given point is [tex](2,-1)[/tex] and the slope is 3 . On using the point slope form of the line, we have ;

[tex]\implies m(x-x_1)=y-y_1[/tex]

Substitute ,

[tex]\implies 3(x -2) = y -(-1) [/tex]

Simplify ,

[tex]\implies 3x -6=y+1 [/tex]

Add -1 and -y to the both sides ,

[tex]\implies \boxed{3x -y -7=0 }[/tex]


Related Questions

guys pls help me!!!!!!!

Answers

Answer:

40

Step-by-step explanation:

alternate interior

Answer:

its 40 degrees

Step-by-step explanation:

its said by the top person :)

The question is in the pic! Please help :)

Answers

The answer is D.

If you go to point E and count back 4 units, you will land on point B.

Hope this helps! :)

The area of a rectangle is 360 cm, and the length is 2 cm more than the width Find the width​

Answers

Answer: 18 cm

Explanation:

Let x = width (W)
Let x + 2 = length (L)

Area (A) = L*W
x(x+2) = 360
x^2 + 2x = 360
x^2 + 2x - 360 = 0
(x + 20)(x - 18) = 0
x + 20 = 0
x = -20
^^^ reject because distance can’t be negative
x - 18 = 0
x = 18 (width)

x + 2 = 20 (length)

Check:
A = L*W
360 = 20 * 18
360 = 360

Use the figure to find the measures of the numbered angle.

Answers

Answer:

angle 1 = 61°

angle 2 = 119°

angle 3 = 61°

angle 4 = 119°

angle 5 = 119°

angle 6 = 61°

angle 7 = 119°

Step-by-step explanation:

angle 1 = 61° (corresponding angles are always equal)

angle 1 + angle 2 = 180° (linear pair)

=> 61° + angle 2 = 180°

=> angle 2 = 180° - 61° = 119°

angle 2 = 119

angle 1 = angle 3 = 61° (vertically opposite angles are equal)

angle 2 = angle 4 = 119° (vertically opposite angle are equal)

angle 4 = angle 5 = 119° (interior opposite angles are equal)

angle 6 = 61° (vertically opposite angles are equal)

angle 5 = angle 7 = 119° (vertically opposite angles are equal)

Hope it helps :)

please someone help






100 points

Answers

Answer:

where is the question on which topic

if 3x - 6 = 15 than what is x​

Answers

Answer:

3x-6=15

3x=15+6

3x=21

x=21/3

x=7

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

x = 7

Step-by-step explanation:

Step 1: Add 6 to both sides.

[tex]3x - 6 + 6 = 15 + 6[/tex] [tex]3x = 21[/tex]

Step 2: Divide both sides by 3.

[tex]\frac{3x}{3} = \frac{21}{3}[/tex] [tex]x = 7[/tex]

Step 3: Plug in the value to see if it's correct.

[tex]3(7) - 6 = 15[/tex] [tex]21 - 6 = 15[/tex] [tex]15 = 15[/tex]

Therefore, x = 7.

Yesterday, Nate’s mom bought 4 boxes of crackers for $2.59 each. About how much did she pay for the crackers?

Answers

Answer:

$10.36

Step-by-step explanation:

4•2.59=10.36

Multiply and express in the form of a complex number a + b i.
(-5 + 3i)(- 4 + 8i)

Answers

Answer:

-4 - 52 i

Step-by-step explanation:

Hope this helps :)

3265÷37=?3265, divided by, 37,Write your answer as a whole number and remainder.

Answers

Answer:

the answer in decimal is

88.243

Please help, I need answers!
Q1
Solve for x.
7(x + 5) - 6x = 55
50
20
60
90

Q2
c−1.5+6.8=0.6
Answer in a decimal please

Answers

Answer:

[tex]Q.1)\:x=20[/tex]

[tex]Q.2)c=-4.7[/tex]

Step-by-step explanation:

[tex]Q1)[/tex] [tex]7\left(x+5\right)-6x=55[/tex]

Use the distributive property to multiply 7 by x+5 :

[tex]x+35=55[/tex]

Subtract 35 from both sides:

[tex]x+35-35=55-35[/tex]

[tex]x=20[/tex]

___________________________

[tex]Q2)[/tex] [tex]c-1.5+6.8=0.6[/tex]

[tex]-1.5+6.8=5.3[/tex]

[tex]c+5.3=0.6[/tex]

Subtract 5.3 from both sides:

[tex]c+5.3-5.3=0.6-5.3[/tex]

[tex]c=-4.7[/tex]

____________________________

Find the value of each expression. Then write an expression that has the same value, using addition 7 – (-3) 7 – 3 59 – (-1) -17 – (-6) of related numbers.

Answers

Answer:

7-(-3)=10

7-3=4

59-(-1)=60

-17-(-6)=(-11)

Step-by-step explanation:

In the photo !

Which of the following are solutions to the equation y= - 1/2 x + 3 . —->

Answers

Answer:2,2

Step-by-step explanation:

The price of a dress was reduced from $40 to $30. By what percentage was the price of the dress reduced? STEP BY STEP

Answers

Answer:

The price was reduced by 25%

Step-by-step explanation:

Not sure how to go step by step on this, because it's kinda obvious once you think about it a bit. You need to find what percent of 40 that 10 equals (if that  makes sense). So really it's just what percent of 40 equals 10? and since 10 is one fourth of forty, 1/4, then you convert that to percent: 25% (sorry if this made no sense, i'm not very good at explaining things)

Help I need this pls provide expnation too thx

Answers

There are infinitely many solutions. I took geometry a year ago and it was easy algebra isn’t that hard if you need anymore help let me know

Which of the following number lines depicts the solution to 4(x+1) > 16 + 7x?

Answers

9514 1404 393

Answer:

  b) x < -4

Step-by-step explanation:

Eliminate parentheses and you have ...

  4x +4 > 16 +7x

  -12 > 3x . . . . . . . . subtract 4x+16

  -4 > x . . . . . . . . divide by 3

The number line will have an open circle at -4 and be shaded to the left. The pictures are a bit fuzzy, but we think choice B has that description.

Victor and his friends are preparing for an epic snowball fight. They make 85 snowballs before Victor's dad calls them in for lunch. After lunch, they make more snowballs. In all, Victor and his friends make 153 snowballs.
Which equation can you use to find the number of snowballs s Victor and his friends make after lunch?

Answers

Answer:

85+x=153

Step-by-step explanation:

So basically, Victor made an unknown amount of snowballs after lunch, and you need to find the amount. You can represent the unknown as the variable x. Then, you get the equation 85+x=153

The equation used to find the number of snowballs s Victor and his friends make after lunch is s + 85 = 153.

Given data:

Victor and his friends are preparing for an epic snowball fight. They make 85 snowballs before Victor's dad calls them in for lunch. After lunch, they make more snowballs. In all, Victor and his friends make 153 snowballs.

Now , the equation to find the number of snowballs Victor and his friends make after lunch is determined as :

s + 85 = 153

In this equation, "s" represents the number of snowballs they make after lunch. The equation states that the sum of the snowballs made before lunch ("85") and the snowballs made after lunch ("s") is equal to the total number of snowballs they made ("153").

Hence, the equation is s + 85 = 153

To learn more about equations, refer:

https://brainly.com/question/19297665

#SPJ3

Classify the system of equations and identify the number of solutions.
4x + 2y = −8
6x + 3y = 9
inconsistent; none
consistent, dependent; one
inconsistent; one
consistent, dependent; infinite
HELP ASAP PLS

Answers

Answer:

inconsistent, none

Step-by-step explanation:

Write both equations in slope-intercept form to see if the lines are parallel.

These two lines have slope m = −2 and different y-intercepts, therefore they are parallel.

Since the lines are parallel, the system is inconsistent and there are no solutions.

The system of equations  4x + 2y = −8 6x + 3y = 9 is inconsistent and has no solutions.

What is system of Equations?

A system of equations is a collection of two or more equations with a same set of unknowns.

We need to write both equations in slope-intercept form to see if the lines are parallel.

4x+2y=-8

2y=-8-4x

y=-4-2x,

y=-2x-4, m₁=-2

and 6x+3y=9

3y=9-6x

y=-2x+3, m₂=-2.

So two lines have slope m = −2 and different y-intercepts,

It means two line are parallel.

Since the lines are parallel, the system is inconsistent and there are no solutions.

Hence 4x + 2y = −8 , 6x + 3y = 9 is inconsistent and has no solution.

To learn more on system of equations click:

https://brainly.com/question/24065247

#SPJ2

Can someone help me please ?

Answers

Answer:

12 and (-12)

Step-by-step explanation:

Solve for x.

x^2= 144

square root both sides and get,

x= 12

and

x= (-12)

remember to put your negative and 12 into parenthesis because you are multiplying the negative as well.

Answer:

x = 12

x = -12

Step-by-step explanation:

Step 1: Take the square root of both sides.

[tex]\sqrt{x^2} =[/tex] ± [tex]\sqrt{144}[/tex] [tex]x =[/tex] ± [tex]\sqrt{144}[/tex] [tex]x = 12[/tex] or [tex]x = -12[/tex]

Therefore, x = 12 and x = -12 are the answers.

What is the area of the following circle?
Either enter an exact answer in terms of π 3.14 π and enter your answer as a decimal.

Answers

The area of the circle is 153.86

The formula is A = π r²

write the equation of the graph in slope intercept form


(3,-3) (-3,-5)

m= -4​

Answers

Answer:

y = -4x + 9

Step-by-step explanation:

Slope intercept form is:

y = mx + b

If m = -4

y = -4x + b

Plug the values of the first set of coordinates into this:

y = -4x + b

-3 = -4(3) + b

-3 = -12 + b

Add 12 to both sides of the equation to isolate b:

-3 + 12 = -12 + b + 12

9 = b

So that makes the slope intercept form:

y = -4x + 9

Hope this helps!

dani takes her two friends out for lunch. dani's meal costs $5. 72 and her friends' meal are $4. 89 and $7. 30. dani pays for the meals with a $20 dollar bill. how much change should she get?

Answers

Your answer is : $2.09

To find this answer you first need to find out how much money Dani spend.The equation for this is (5.72+4.89+7.30=17.91).The last step is to subtract the amount Dani spent by the amount she paid so new equation is (20.00-17.91=2.09)The answer is $2.09

$5.72+$4.89+$7.30=$17.91
$20.00-$17.91=$2.09

Dani will get $2.09 back. :)

Pls mark brainliest! <3

What is the slope of the line represented by the points in the table shown below?



x

-4

-1

5

9

y

17

8

-10

-22





m=⅓


m=-3


m=3


m=-⅓

Answers

Answer:  Slope of the line formed by the data is -3.  

m=-3    for    y=mx+b.

Step-by-step explanation:  The slope is the change in y (the rise) divided by the change in x (the run) between two points on the line.  I'll pick 2 points:  (-4,17) and (9,-22).  Any two points will work, if it is a straight line.  For these points, y, the rise, changes from 17 to -22, for a net change of (-22 - 17) = -39 for y.  x, the run, goes from -4 to 9, for a change in x of (9 - (-4)) = 13.

The rise(y) over the run(x) for these points is thus (-39/13) = -3

The slope is -3

HELP DUE IN 10 MINUTES!!!!!

Two step equations word problems

Tim answered all the questions on his math test but got 10 answers wrong. He received 4 points for every correct answer, and there was no penalty for wrong answers. His score was 76 points.

1. Write an equation to determine the total number of questions (q) on Tim's math test.

2. Find the total number of questions on his math test.

Answers

Let the number of accurate answers provided by Tom equal x.

The number of incorrect responses is ten.

Tim receives 4 marks for each right answer.

Marks deducted for wrong answers = 0.

Total Points = 76

When all of the above statements are combined, the equation

76 = 4 x + 10 * 0

4 x = Equals 76.

19 = x

The number of correct answers is 19

The number of incorrect responses equals ten.

Total number of questions = 19 + 10 = 29

An auto mechanic earns $498.75 in 35 hours during the week. His pay is $2.50 more per hour on weekends. If he works 6 hours on the weekend in addition to 35 hours during the week, how much does he earn?

Plz show work and i will be so grateful

Answers

Answer:

35 hours during week pay: 498.75

2.50 more on weekends

Lets us find unit rate

498.75/35= 14.25

14.25 dollars on weekday add 2.50 and...

16.75 dollars is pay per hour on weekends

16.75*6= 100.5

100.5+498.75=

599.25 dollars

Step-by-step explanation:

Answer:

512.75$

Step-by-step explanation:

2.50 x 6 = 15.00$

So, add 15 to 498.75 by using standard algorithm.

Your result should be 512.75$

Therefore, your answer would be 512.75$

-kiniwih426

Cries In didn’t pay attention in class in my lower grades

Answers

Answer:

a. 32

b. 48

Step-by-step explanation:

Forty percent of the 80 birds were robins.

a. How many of the birds were robins?

b. How many of the birds were not robins?
___________________
Forty percent of the 80 birds that were robins = 40%/100%

To find how many of the birds were robins, use part/whole = part/whole

40%/100% = ?/80

This will tell us how many exact robins were there

To solve, multiply 80 by 40 and then divide all by 100

80 x 40 ÷ 100 = 32

so 32 of the birds were robins

now for b since 32 of the birds were robins out of 80 birds, subtract 32 from 80.

80 - 32 = 48

A baseball has a momentum of 70 kg*m/s south and a mass of 0.2 kg. What is the
ball's velocity?

Answers

Answer : Diluc + Klee = Dlee

Which fraction is close to zero?
a. 5/12 b. 8/12 c. 2/12 d. 4/6

Answers

Answer:

2/12

Step-by-step explanation:

Answer:

C) 2/12

Step-by-step explanation:

You need to convert the fractions to decimals (by dividing the top number by the bottom number).

5/12 = 0.416...

8/12 = 0.666...

2/12 = 0.166...

4/6 = 0.666...

As you can see, 2/12 in decimal form is closer to 0 than the other fractions.

A sprinter travels a distance of 100 m in a time of 8.96 seconds.
What is the sprinter's average speed rounded to 4 sf

Answers

The average speed is 40.176 Km/h.

What is Average speed?

The average speed is the total distance traveled by the object in a particular time interval.

Given:

distance = 100m

time= 8.96 seconds

So,

average speed = distance/time taken

= 100/8.96

= 11.16 m/s

and in Km/h

= 11.16* 18/5

= 40.176 Km/h

Hence, the average speed is 40.176 Km/h.

Learn more about average speed here:

https://brainly.com/question/20853087

#SPJ1

The function t(x) = 4x -2 determines how many cans of vegetables a food truck needs to stock on board, where x is the number of shifts the crew is going to work in the truck. The crew uses c(t(x)) to find the amount of money to spend on vegetables. The function c(x) = x + 9. Solve for how much money must be spent when the crew is going to work 2 shifts.

Answers

Answer:

[tex]t(x) = 4x - 2 \\ c(x) = x + 9 \\ c(t(x)) = (4x - 2) + 9 \\ = (4(2) - 2) + 9 \\ = 8 - 2 + 9 \\ = 6 + 9 = 15[/tex]

Using Substitution solve: y=x+5
4x+y=20

Answers

Answer:

3

Step-by-step explanation:

So first, plugin y to your equation, it should look like this: 4x+x+5+20. Now, we can solve this. Next, we have two x's so we can combine them. The equation will now look like this: 5x+5=20. Now, we have an extra 5 laying around that we need to get rid of, so we can subtract that 5 to both sides of the equation and we get this: 5x-5=20-5 which ends up being 5x=15. Now, we just divide both ides by 5 and since 15 divided by 5 is 3, we get: x=3

Other Questions
which part of the bone is a hollow cylinder that makes the bone strong I. Find the word which has different sound in the underlined part.1. A. endangered B. generation C. accept D. memorable2. A. attraction B. authority C. handicraft D. grandparent3. A. environment B. repeat C. embroider D. transfer4. A. pottery B. opinion C. communicate D. behavior5. A. handicraft B. publish C. remind D. historical6. A. craft B. carve C. aware D. cast7. A. surface B. drumhead C. multicultural D. frustrated8. A. stressed B. tense C. concentrate D. self-aware9. A. delighted B. helpline C. advice D. decision10.A. delicious B. facility C. city D. place11. A. conduct B. difficult C. stuck D. fun12. A. feature B. culture C. tradition D. multicultural13. A. comprise B. tropical C. compulsory D. mausoleum 14. A. different B. difficult C. invite D. visit 15. A. added B. mentioned C. printed D. started 16. A. symbol B. sweater C. inspiration D. design 17. A. picnic B. shrine C. sightseer D. hike 18. A. blanket B. gather C. relax D. exchange 19. A. divide B. religion C. climate D. friendliness20. A. separate B. impress C. federation D. dependII. Choose a word in each line that has different stress pattern.1. A. surface B. attraction C. bamboo D. technique2. A. enjoy B. publish C. accept D. remind3. A. handicraft B. cultural C. museum D. sculpture4. A. opinion B. embroider C. department D. drumhead5. A. workshop B. authenticity C. grandparent D. village6. A. fabulous B. skyscraper C. lacquerware D. determine7. A. authenticity B. cooperative C. metropolitan D. multicultural8. A. neighbourhood B. assignment C. emotion D. supportive9.A.experience B. emotional C. emergency D. favourable10. A. skyscraper B. convenience C. resident D. vehicle11. A. affordable B. environment C. variety D. indicator 12. A. enjoy B. religion C. Hinduism D. around 13. A. Malaysian B. pen pal C. impress D. enjoy 14. A. Korea B. China D. Japan D. Malaysia 15. A. design B. mention C. poetry D. modern 16. A. addition B. visited C. continue D. designer 17. A. minority B. majority C. traditional D. inspiration 18. A. fashion B. tunic D. novel D. survive 19. A. collection B. grocery C. locate D. pagoda 20. A. mountain B. weekend C. enjoy D. gather solve the equation: -2(n+3)=13 Tom is deciding whether or not he should become a member gym to use their basketball courts. The membership cost is $135. Members pay $2 to rent out the basketball courts. Non-members can rent the court also, but they have to pay $11 each time. how many times would Tom need to rent the court in order for it be cheaper to be a member than a non member? Read the excerpt from the golden cat What is the meaning of figurative language in lines 5 and 6? It takes an elevator 2 seconds to go from floor to floor. Each passengertakes 1.5 to 2.0 seconds to board or exit. Twelve passengers board on thefirst floor and exit on the fourth floor. How long will you wait if you are onthe seventh floor and ring for the elevator just as it leaves the first floor? What type of noun is the word gadgets? If max have 600 apples and give sis some how did here Barty is going to flip a coin three times. What is the probability that he will see at leasttwo tails? Can you use a Probability Area Model for this situation? which executive branch and bureaucratic agencies might be involved in the work to combat climate change What modern U.S. foreign affairs issues and/or concerns are likely long-term results of Taft's dollar diplomacyapproach to foreign policy? On an interstate, how many miles is it between Exit 25 and Exit 55?A. There is no way to tellB. 70C. 80D. 30 Escoge el artculo y adjetivo correcto de la siguiente palabra:____ tarea ____1st blank:algunaalgunasinteresantesalgunosinteresantealgn2nd blank:algunaalgunasinteresantesalgunosinteresantealgn What does this weather map symbol represent, and what is its meaning? A) Moving front: the area between two air masses where is constantly in motion B) Stationary front: the boundary between two air masses where no air is moving C) Cold front: the leading edge of a cold air mass is pushing against a warm air mass D) Warm front: the leading edge of a warm air mass is pushing in to replace a cold air mass Someone plz help URGENTLY will mark brainliest plz no links or will be reported wrong word of sentence The head of the History department was observing the class surreptitious at that momemt how does elizabeth attitude towards lady catherine create humor in this excerpt Atul, Bryony and Charlotte share an amount of money in the ratio 4:11:10What fraction of the money does Bryony get? 112.84 54.14 (29.18) a girl scout has (5x-12) boxes of cookies and sells (3x+18) of them. Write an expression to represent the amount of boxes she has left. i need help.