Find the equation of a line that passes through the points (1,-2) and (3,-4). Express your final answer in slope-intercept form.

Find The Equation Of A Line That Passes Through The Points (1,-2) And (3,-4). Express Your Final Answer

Answers

Answer 1

[tex]\text{Given that,}\\\\(x_1,y_1) = (1,-2)~~ \text{and}~~ (x_2,y_2) = (3,-4)\\\\\text{Slope,}~ m= \dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{-4+2}{3-1} = -\dfrac 22 = -1\\\\\text{Equation with given points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y +2 = -1(x-1)\\\\\implies y = -x+1 -2\\\\\implies y = -x-1\\\\\text{This is the slope-intercept form(y =mx+b).}[/tex]

Answer 2

Answer:

y=-x-1

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-4-(-2))/(3-1)

m=(-4+2)/2

m=-2/2

m=-1

y-y1=m(x-x1)

y-(-2)=-1(x-1)

y+2=-x+1

y=-x+1-2

y=-x-1


Related Questions

I need help with this question

Answers

Answer: bro I don’t if this is correct but try 11+3i

There are nine marbles in a group, and four of those marbles are red. What
fraction of the marbles are red?

Answers

the fraction 4/9 of the marbles are red
4/9 of the marbles are red

The function g(x) undergoes a vertical stretch of 2, a horizontal shift to the right 3 units, and a vertical shift up 1 to become f(x). Which equation describes f(x).


F(x) = 2|x + 3|- 1

F(x) = 2|x - 3| + 1

F(x) = 2|x - 3| + 1

F(x) = 2|x- 3| - 1

Answers

Answer:

NONE OF THE OPTIONS GIVEN

Step-by-step explanation:

F(x) = 2|x - 3| + 1 is close, but vertical bars in stead of parentheses completely changes the curve shape

I believe it should be f(x) = 2(x - 3) + 1

if g(x) = x

here are some plots to compare the possibilities. I've shifted the vertical of each to separate the blue and green lines slightly. If they were both true "1" values the lines would be colinear for x>3.

The red line has a slope of 1, stretching by a factor of 3 means the slope is now 3. The absolute value signs from the answer options makes f(x) have a sharp V shape whereas the parentheses creates a single line for all values of x as does g(x) = x.

83 devided by 3, with remainders

Answers

Answer:

just see how many times 3 goes into 80 which is 26. so then that leaves you with 5 and 3 goes into 5 only 1 time so the answer is 26 and 2

ANSWER: 81 = 27 x 3 + 2
Ok done. Thank to me :>

Dog food is sold in 7 pound bags. Sketch
a graph to show the weight of dog food
purchased by a customer who buys 0, 1, 2, 3, or 4 bags. Tell whether the graph is continuous or discrete.

Answers

Answer:

Continuous

Step-by-step explanation:

HELP ASAP I don't understand

Answers

Answer:

No

Step-by-step explanation:

These are the artists of each subject, not the general function of each genre.

Brainliest for

Students from CAMPA participated in a school fundraiser. The six graders raised $600. The seventh graders raised 35% more than the six graders. The eighth graders raised. 10% less than the seventh graders. What is the total amount the school raised?

Answers

Answer:

$2,139 was the total amount the school raised.

Step-by-step explanation:

35% of 600= 210

210+600 = $810

10% of 810= 81

810-81= $729

6th Graders= $600

7th Graders= $810

8th Graders= $729

Which of the following is a rational number?

Answers

the correct answer is B

Find the sum. 2/5 (d-10) -2/3 (d+6)

Answers

Answer:

Step-by-step explanation:

2/5 (d - 10) - 2/3 (d + 6)

=> 2d - 20/5 - 2d - 12/3

By taking LCM of 5, 3 = 15

=> 6d - 30/ 15 - (10d - 60/15)

=> 6d - 30/15 - 10d + 60/15

=> -4d + 30/15

Hope you understood!!


6. Jan went to the mall with $20. She spent $5 at the mall. What decimal represents how much of her $20 she spent at the mall?

Answers

Answer:

0..........5

Step-by-step explanation:

Help me please I would really apparated it thanks.

Answers

14 minutes at 100 degrees

The population of certain city is projected to grow at the rate of r(t) = 400 1+ people/ 24 +7 year in interval (Osts 5) t years from now. The current population is 60 000. What will be the population 5 years from now?​

Answers

The population 5 years from now would be 60482

The population growth rate is given as:

[tex]r(t) = 400(1 + \frac{2t}{24 + t^2})[/tex]

The value of t, 5 years from now is represented as:

t = 5

Substitute 5 for t in the function r(t).

So, we have:

[tex]r(5) = 400(1 + \frac{2 \times 5}{24 + 5^2})[/tex]

Evaluate the exponent

[tex]r(5) = 400(1 + \frac{2 \times 5}{24 + 25})[/tex]

Evaluate the products

[tex]r(5) = 400(1 + \frac{10}{24 + 25})[/tex]

So, we have:

[tex]r(5) = 400(1 + \frac{10}{49})[/tex]

Divide 10 by 49

[tex]r(5) = 400(1 + 0.204)[/tex]

This gives

[tex]r(5) = 400(1.204)[/tex]

Expand

[tex]r(5) = 481.6[/tex]

The current population is given as 60000.

So, the population (P) 5 years from now would be

[tex]P = 60000 + 481.6[/tex]

[tex]P = 60481.6[/tex]

Approximate

[tex]P = 60482[/tex]

Hence, the population (P) 5 years from now would be 60482

Read more about population functions at:

https://brainly.com/question/20115298


6a(2 squared)b + 36ab

Answers

Answer:

try for an answer: 6ab • (18ab + a - 6b)

Rectangle ABCD is dilated by a scale factor of 2 with the origin as the center of dilation, resulting in the image A′B′C′D′. If the slope of is -2, what is the slope of ?

A.
-4

B.
-1

C.
-2

D.
0

Answers

Answer:

The slope is -2.

Answer is C

Answer:

the answer is c. -2

Step-by-step explanation:

What is the slope of the line. ?

Answers

Answer:

-1

Step-by-step explanation:

rise/run

rise=-1

run=1

-1/1=-1

Find x please and FAST!!!

Answers

Answer:

19

Step-by-step explanation:

Angle ZYW is congruent to angle YWX, so the 3 angles must add to 180.

(3x - 5) + 90 + 2x = 180

5x + 85 = 180

5x = 95

x = 19

Help help help math math ASAP

Answers

Answer:

4

Step-by-step explanation:

f(-3) = 2 * (-3) + 10

Find the perimeter of a rectangle whose width is 30cm and diagonal 50cm.

Answers

Answer:

P=140cm

Step-by-step explanation:

P=2(l+w)

d=w2+l2

Solving forP

P=2w+2d2﹣w2=2·30+2·502﹣302=140cm

Hope This Kind of Helps

Answer: 140cm

P=2(l+w)  

P=2w+2d2﹣w2=2·30+2·502﹣302=140cm

Translate the phrase into a variable expression. Use the letter p to name the

variable. If necessary, use the asterisk (*) for multiplication and the slash

(7) for division

the total number of peanuts divided among 4 baseball fans

Answers

Answer:

p/4

Step-by-step explanation:

You have p amount of peanuts and 4 baseball fans, so you divide p among 4, which is p/4

Answer: its p/10

Step-by-step explanation: i just did it

Jon is solving this division problem: 7,846 : 3. In what place should he start dividing?
thousands
hundreds
ones
tens

answer is ones

Answers

The answer is the ones place
I think it’s hundreds I think I don’t know though

Question 9 of 10 What is the length of DE?

Answers

Answer:

I think it's B.

Step-by-step explanation:

whats the solution.?

Answers

Answer:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    y-(x-4)=0  

STEP

1

:

Equation of a Straight Line

1.1     Solve   y-x+4  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

 

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  y-x+4  = 0 and calculate its properties

Step-by-step explanation:

x-4=-1/5x+2
Add 4 to both sides
x=-1/5x+6
Add 1/5x to both sides
6/5x=6
Multiply each side by 6/5
X=7.2



Find the equation of the line l that is perpendicular to -3x + 6y = 11 and I passes
through the point (-2, 3)

Answers

Answer:

Step-by-step explanation:

-3x + 6y = 11

Put into slope-intercept form to find the slope

6y = 3x + 11

 y = 3x/6 + 11/6

 y = ½x + 11/6

so slope is ½

perpendicular lines have negative reciprocal slopes, so our perpendicular line has slope -2

the slope point form of the perpendicular line will be

(y - 3) = -2(x -(-2))

(y - 3) = -2(x +2)

the slope intercept form will be

y = -2x - 4 + 3

y = -2x - 1

12 POINT HURRY PLEASE

Answers

Answer:

• As x approaches -∞, g(x) approaches -∞; and as x approaches ∞, g(x) approaches ∞.

Step-by-step explanation:

[tex]{ \tt{g(x) = \frac{ {x}^{2} + 5x}{3x} }} \\ [/tex]

If x approaches -∞;

[tex]{ \tt{g( {}^{ - } \infin}) = \frac{ {( {}^{ - } \infin)}^{2} + {}^{ - } \infin}{ {}^{ - } \infin} } \\ \\ { \boxed{ \tt{g( {}^{ - } \infin) = {}^{ - } \infin }}}[/tex]

If x approaches +∞;

[tex]{ \tt{g( {}^{ + } \infin) = \frac{ {( \infin)}^{2} + \infin}{ \infin} }} \\ \\ { \boxed{ \tt{ g( {}^{ + } \infin) = {}^{ + } \infin }}}[/tex]

Note: I'm taking my infinite value to be 1,000

1 gallon is equal to 4 quarts or 8 pints. How many pints are in 3 gallons?

Answers

Answer:

24 pints

Step-by-step explanation:

if 1 gallon is = to 8

then 3 gallons is 24

There are 24 pints in 3 gallons.

To determine how many pints are in 3 gallons, we can use the conversion factor provided: 1 gallon equals 8 pints.

Step 1: Calculate the number of pints in 1 gallon.

Since 1 gallon equals 8 pints, we can write this as 1 gallon = 8 pints.

Step 2: Multiply the number of pints in 1 gallon by the number of gallons.

To find the number of pints in 3 gallons, we multiply the number of pints in 1 gallon (8 pints) by 3 gallons:

3 gallons × 8 pints/gallon = 24 pints.

Therefore, there are 24 pints in 3 gallons.

Learn more about conversion factor click;

https://brainly.com/question/30567263

#SPJ6

hey I really need help on this one please help me thanks

Answers

Answer:

y = -10/3x -23

Step-by-step explanation:

Here's two options! You can either use slope-intercept formula or point-slope formula for the first steps.

We are trying to find m.

Slope-intercept formula:

m = y2-y1/x2-x1

Now let's identify our points, (-9,7) and (-6,-3).

= -3-7/-6+9

= -10/3

Point-slope formula:

y-y1 = m(x-x1)

Now let's identify our points, (-9,7) and (-6,-3).

-3 - 7 = m(-6 + 9)

-10 = 3m

-10/3 = m

Now, we have to use slope-intercept formula to find our b.

y = mx+b

y = -10/3x + b

Let's substitute one of the points, any given points work!

7 = -10/3(-9) + b

7 = 30 + b

-23 = b

Let's put it back in.

y = -10/3x -23

??????help please thanks

Answers

Answer:

The choice 66

Step-by-step explanation:

[tex]6x + 2m \\ 6(14) + 2( - 9) \\ 84 - 18 \\ = 66[/tex]

Approximately what portion of the beaker is filled?
A. 1/2
B. 1/4 C.3/4

Answers

Answer:

B. [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

The whole beaker is 1. If you measure the beaker, you will notice you can fill up the beaker to the brim (whole, which is 1) if you use the current amount 4 times, and four times is [tex]\frac{1}{4}[/tex].

Which of the following satisfies 2x^2 + 5x = 7?
A) x =1
B) x = (-2)
C) x = 5
D) x = 0

Answers

i believe it is A, x=1

As Earth circulates the sun, it travels at a
speed of 20 miles per second. Convert
this speed to kilometers per second. At
this speed, how many kilometers will
Earth travel in 8 seconds? Assume that 1
mile is equal to 1.6 kilometers.

Answers

If 1 mile is equal to 1.6 kilometres, then 20 miles will be equal to 20 x 1.6 = 32 kilometres

So it travels 32 kilometres per second


For the second part, if the earth travels 32 kilometres in 1 second, then it will travel 32 x 8 kilometres in 8 seconds, which is equal to 256 km
Other Questions
in the actual room, the distance between the front and back walls is 8 feet. what is the actual length of the front wall, in feet? Please help me with this!!! I will mark brainlist!!! find the angle of rotation that maps point D onto point A I will feed your soul-personification or metaphor? 33 + 55 = __ (3+5)Help me with this Explain the verse below in your own words in a little summary. Hebrews 11:7 24. What energy transformation occursduring the combustion of coal in apower plant?A Electromagnetic energy istransformed to thermal energy.B Nuclear energy is transformed toelectromagnetic energy.C Chemical energy is transformed tothermal energyD Chemical energy is transformed tonoclear energy Pieter owns a currency conversion shop. Last Monday, Pieter changed a total of 20 160 rand into a number of different currencies. He changed 3/10 of the 20 160 rand into euros. He changed the rest of the rands into dollars, rupees and francs in the ratios 9:5:2 Pieter changed more rands into dollars than he changed into francs. Work out how many more. After learning about active listening in Unit 3, it is time to put your active listening skills to the test and try them out! For this lab, you will be exploring two different pieces of music using the listening checklist described in the unitand your active listening skills, of course!Start by finding and selecting two pieces of music online. You are free to choose whatever type of music you like: pop, rock, rap, classical, instrumental, etc. Do your best to select something that is as appropriate as possible (i.e., as free as possible from curse words and inappropriate content) as your teacher will be listening to your selections too.Create a word processing document and copy/paste a link for each musical selection in it. Below each music selection, copy/paste or recreate this chart (seen below).Listen carefully to your first musical selection at least twice. Then, fill out the chart based on your listening. Repeat the process for the second musical selection.Download this chart to analyze each piece of music:RTF (Edit) PDF (Print)After you have listened to each music selection and filled out the listening chart for each, its time to do some comparing and contrasting.Write a one- to three-paragraph essay that compares and contrasts the two pieces of music that you listened to. If you need some help with what specific things to compare/contrast, refer to the listening charts that you filled out or the questions below:How do the two musical pieces differ?How are the two musical pieces similar?Were the instruments featured in the two pieces different from each other?What differences or similarities were there in tempo, or speed, of the music?Were there any differences in what you were imagining as you listened to each piece? Did you hear a story in either piece? What emotions were evoked from listening to each song?For information on how you will be graded, please refer to the rubric below. Read the excerpt from Does My Head Look Big in This? by Randa Abdel-Fattah. Which phrases from the excerpt best support the narrators confident tone? Select three options. In a bar graph space between rectangles is always 2. Use the conversion table to convert the following metric units into the given English units.Round your answers to two decimal places.a. 12 mm to inchesb. 75 km to milesC. 150 m to feetd. 63 square meters to square feete 45 meters per second to feet per second1.9 L (liters) to U.S.quarts How Can We Save Energy?List 5 facts about How Can We Save Energy. Ralph has 9 cards, each with a number on it. What is the probability that the number chosen is a multiple of 4 ? IF YOU KNOW IT ANSWER IT!!!! I ONLY HAVE 4 MINUTES ??.Who is the founder of Apple??.don't use gugle and Alexa Safety considerations Sodium Hydroxide (please insert one statement of caution from MSDS) the graph of linear function g is shown on the grid what is the zero of g -6-90-5 Quiero comprar ____ para mi mam. Dnde debo buscarlos? A. Recuerdos B. Tarjetas de crdito C. Artesanas D. Regatear E. Joyas Pure water boils at 100c. What happens to the water particles when water boils?.