What is the equation of the line that passes through the point (-8,3) and has a slope of -1/4

Answers

Answer 1
The slope is -1/4, which is -0.25x. We know that we are exactly 8 units to the left of the y axis, so we can use the slope to determine the change within the coordinates as the line moves across the graph. The slope has a rise of -1 and a run of 4, meaning every 4 units to the right will be 1 unit up. We must move 8 units to the right, which in turn moves the graph down 8 quarter units. 8 x (1/4) is 2, so we know that the graph has moved down 2 units. (Down because the graph has a negative slope). (-8,3)->(0,1). From this coordinate, we can see the y intercept is 1. Since y=mx+b, we can write y=-1/4x+1. This is your equation. (Sorry for the length, wanted to be thorough)
Answer 2

y=-1/4x+1 is the equation of the line that passes through the point (-8,3) and has a slope of -1/4

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We have to find equation of  the line that passes through the point (-8,3) and has a slope of -1/4

m=-1/4

Let us find y intercept

3=-1/4(-8)+b

3=2+b

b=1

Hence, y=-1/4x+1 is the equation of the line that passes through the point (-8,3) and has a slope of -1/4

To learn more on slope of line click:

https://brainly.com/question/16180119

#SPJ2


Related Questions

2 decreased by the sum of m and 8

Answers

Answer:

(m+8) - 2

Step-by-step explanation:

In A Fraction What Is The Number On Top Called

Answers

the fraction on top is classed the numerator

Answer: numerator

Step-by-step explanation the bottom is the denominator

Hopes this helps✊

3. Write the equation of the altitude from B for A(-7,-5) B(-5,5), C(2, 1).

Answers

Answer:

  y -5 = -3/2(x +5)

Step-by-step explanation:

The altitude from B is perpendicular to segment AC. The slope of segment AC is ...

  m = (y2 -y1)/(x2 -x1)

  m = (1 -(-5))/(2 -(-7)) = 6/9 = 2/3

The slope of the altitude line will be the opposite reciprocal of this, so is ...

  -1/m = -1/(2/3) = -3/2

The point-slope form of the equation of a line is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -5 = -3/2(x +5) . . . . . line with slope -3/2 through B(-5, 5)

_____

Additional comment

The equation can be put in other forms, as you may wish. Solving for y gives the slope-intercept form.

  y = -3/2x -5/2 . . . . . slope-intercept form

 3x +2y = -5 . . . . . . . standard form

The altitudes of each triangle are drawn. Which of the triangles has an orthocenter on the exterior of the triangle?

Answers

Answer:

the second triangle

Step-by-step explanation:

because the point of intersection is out the triangle

Would you rather have your boss pay you 10,000 a day for 3 full weeks

Answers

Answer:

yes I would............

Verizon has a special and is selling the new iPhone 7 for $299 to new customers. If the Apple Store is charging twice as much as Verizon, then how much is Apple charging for the new phone?

Answers

Answer:

$598

Step-by-step explanation:

2 x 299 = 598 so Apple is charging $598 for the new phone.

What is the answer for 3x-7y=4 solve for y

Answers

y = [tex]\frac{4-3x}{7}[/tex]

Answer:

[tex]y = \frac{ - 4 + 3x}{7} [/tex]

Step-by-step explanation:

follow the steps in the previous answer, but

negative divided by a negative is positive

Which graph shows a negative acceleration?

Answers

Answer:

Second Graph.

Explanation:

It's the only graph that is concave down and the slope is decreasing.

The cost of a ticket for 3 days stay in a cruise ship is 35,968. If 500 tickets were sold, what was the total amount collected?

Answers

Step-by-step explanation:

a ticket for 3 days cost = 35968

cost of 1 ticket = 35967÷3= 11989.33

therefore, 500 tickets cost= 500 x 11989.33

= 5994666.666, approximately 5994667

In what grade do you learn this math equation? You don't have to solve, I'm just wondering

13t+6=12t+21

Answers

Answer:

I think in grade 6th or 7th I star it learning those types of equations

Maybe 8th or 7th grade I’m not sure

Can ya'll help- none of the answers i've gotten match any answers-

Answers

Answer:

1 8/11

Step-by-step explanation:

Using a calculator you can determine this information easily. I recommend doing so.

the answer is

1 and 8/11

explanation

If 333 + 555 = 999
And 123 + 456 = 488
And 505 + 213 = 809
Then, 344 + 732 = ???

Answers

Answer:

1076

Step-by-step explanation:

Is the answer for the last one is 298?

Pls help me sue tmr pls pls pals question 6

Answers

Answer:

Ankita is 135cm tall and Nita is 150cm tall- to find what percent of Nita's height Ankita represents you would divide ankita's height by Nita's height then multiply the answer by 100%

135cm/150cm = 0.9 (the centimetres cancel out and leaves a generic unit) then 0.9 x 100% = 90%

so Ankita is 90% of the height of Nita

Step-by-step explanation:

3⋅ (3⁴) = 3x=
What does x equal to?

Answers

X=27
81 = 3x= 27
So x means 27

solve one step equation



-3x = -9

Answers

Answer:

x = 3

--------------------------------------------------------------------------------------------------------------

Step-by-step explanation:

-3x = -9

You have to do the inverse operation to solve a linear equation. In this case, the operation is multiplication (-3x) and the inverse would be division.

Thus, we would divide both sides by the coefficient (-3)

-3x/-3  =  -9/-3

Thus, we isolate the variable x, and the result is

x = 3

--------------------------------------------------------------------------------------------------------------

Check:

To check our answer, all we have to do is substitute the value of x.

So, we would substitute the equation as

-3(3) = 9

-3 multiplied by 3 is -9, so our answer is correct.

Mean of 72, 75, 78, 72, 73

Answers

to find the mean you add all the numbers together

72 + 75 + 78 + 72 + 73 = 370

then you divide by the number of numbers there are

370/5= 74

74

72+75+78+72+73 = 370

370/5 = 74

use the midpoint formula to find the midpoint of the given segment on the coordinate plane

Answers

H(2,2) K(6,4)
(2+6/2) (2+4/2)
(8/2) (6/2)
Answer: (4,3)

Answer:

Midpoint : (4,3)

Step-by-step explanation:

midpoint = [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]

Where the x and y values are derived from the given points.

We are given points H and K which are at (2,2) and (6,4)

We have (x1,y1) = (2,2) so x1 = 2 and y2 = 2

As well as (x2,y2) = (6,4) so x2 = 6 and y2 = 4

To find the midpoint we simply plug in the values of x and y into the formula

Recall the formula [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]

x1 = 2 , x2 = 6 , y1 = 2 and y2 = 4

plug in these values into the formula

[tex](\frac{2+6}{2} ,\frac{2+4}{2} )[/tex]

add top values: 2 + 6 = 8 and 2 + 4 = 6

[tex](\frac{8}{2} ,\frac{6}{2} )[/tex]

simplify fractions : 8/2 = 4 and 6/2 = 3

The midpoint is at [tex](4,3)[/tex]

Fill in the boxes please

Answers

[tex]Given: AD \parallel BCAD∥BC and AD=CB[/tex]

To Prove: [tex]AB \parallel DCAB∥DC[/tex]

1. [tex]AD \parallel BCAD∥BC , AD=CB[/tex]

Reason: Given

2. AC = AC

Reason: Reflexive Property of Equality

3. [tex]\angle 2 = \angle 3∠2=∠3[/tex]

Reason: If Lines are parallel, then Alternate Interior Angles are Equal).

4. [tex]\Delta ACD \cong \Delta CABΔACD≅ΔCAB[/tex]

Reason: SAS

5. [tex]\angle 1 = \angle 4∠1=∠4[/tex]

Reason: CPCTE

6. [tex]AB \parallel DCAB∥DC[/tex]

Reason: If Alternate Interior Angles are Congruent, then Lines are Parallel.

Answer:

The missing Statements and reasons are given below

Statement                                                  >>   Reason

4. CB ≅ BC                                               >> reflexive property of congruence

5. ∠ABC ≅ ∠DCB and ∠ACB ≅ ∠DBC   >>   Alternate interior angles theorem

6. ΔACB ≅ ΔDBC                                      >>   ASA congruence

7. AB ≅ DC and AC ≅ DB                         >>   CPCTC

*PLEASE HELP*

If f(x)= 4x^2
+3 , find
f(0)

f(-2)

Answers

Answer:

f(0) =  3

f(-2) = 19

Step-by-step explanation:

f(x)= 4x^2 +3

1)   f(x) = 4x^2 +3

    f(0) = 4(0)^2 +3

    f(0) =               3

2)   f(x) = 4x^2 +3

      f(-2) = 4(-2)^2 +3

      f(-2) = 4(4) +3

       f(-2) = 19

passes thru (2,-1) with slope of 6

Answers

Answer:

y = 6x - 13

Step-by-step explanation:

Desmos guess and check :)

Answer:

y = 6x - 13

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 6 , then

y = 6x + c ← is the partial equation

To find c substitute (2, - 1 ) into the partial equation

- 1 = 12 + c ⇒ c = - 1 - 12 = - 13

y = 6x - 13 ← equation of line

Will mark brainliest

Answers

Answer:

The purple square

Step-by-step explanation:

PLEASE HELP ME ASAP!!!!

Answers

Answer:

Subtraction property is the answer

Step-by-step explanation:

Mark brainliest please!

If a car travels 299.8 miles in 7.5 hours, what is the car's speed? please help quick!

45 mi/hr

27.5 mi/hr

25 mi/hr

40 mi/hr

Answers

Answer:

answer is D

Step-by-step explanation:

speed = distance divide by time.

299.8/ 7 .5

40

-13x6-(68+3)
54-(-87x45)
75+-31

Answers

Answer:

If they are seperate, then it is

-149

-3,861

106

If that is a whole equation, then the answer is

-297,506

Answer:

-13x6-(68+3)= -149
54-(-87x45)=  -3969
75+31=106

Step-by-step explanation:

3.52 in expanded form

Answers

Step-by-step explanation:

3.52 =

3

+ 0.5

+ 0.02

hopes this helps you

Question 1(Multiple Choice Worth 2 points)
Convert 0.00001 to a power of 10.

104
10−4
105
10−5

Answers

Answer:

Hello! Your answer here is 10−5.

Step-by-step explanation:

To convert 0.00001 to a power of 10, we use scientific notation. Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.

In this problem, the given decimal number is 0.00001. We must move the decimal 5 places to the right, which gives us 1.0.

Then, we multiply 1.0 by 10 raised to the negative of the number of places we have moved the decimal point - so we multiply 1.0 by 10−5, which gives us our answer:

10−5

Estimate the quotient .
pls help me
19 4/5 ÷ 4 5/8

Answers

Answer: The quotient is 4 52/185, which rounds to 4.

Explanation is in the image.


Given f(x) = 2x2 – 9x + 2, g(x) = 1 - 6x, and
h(x) = x2 – 4, find the following function:
(h+f)(x)

Answers

Answer:

[tex](h+f)(x)=3x^2-9x-2[/tex]

Step-by-step explanation:

[tex]f(x)=2x^2-9x+2\\g(x)=1-6x\\h(x)=x^2-4[/tex]

Looks like g(x) is irrelevant here.

You can expand this like so:

[tex](h+f)(x)\\h(x)+f(x)[/tex]

And even further:

[tex](x^2-4)+(2x^2-9x+2)[/tex]

Now, it's just a matter of simplifying.

[tex]x^2-4+2x^2-9x+2\\\\(x^2+2x^2)+(-9x)+(-4+2)\\\\3x^2-9x-2[/tex]

Therefore:

[tex](h+f)(x)=3x^2-9x-2[/tex]

PLEASE HELP WILL MARK BRAINEST!!!

Answers

they biked 220 kil      

that is the answer

solve the equation using elimination

Answers

Answer:

1 1/3

Step-by-step explanation:

you would take 3x+2y=7 and put y=-3x+11 in place of y so it would be 3x+2×-3x+11=7

Other Questions
How does the video show multiple perspectives?A. It gives information from different people.B. It shows the point of view of tzis family.C. It includes interviews with groups of people.D. It focuses on both of the hikers who discovered tzi. Can ya'll help- none of the answers i've gotten match any answers- Prepare and name an alcohol by using the following reactants Hex-1-ene and a water molecule write the complete reaction. does y vary directly with x? if it does write an equation for the direct variation. what most likely led to the formation of the north american continent? 2 decreased by the sum of m and 8 . What verb tense should you use when you tell a story about something that happened last summer?progressivepastpresentfuture what counts as knowledge? 6 example find all complex solutions of 3x^2-6x+1=0 Verizon has a special and is selling the new iPhone 7 for $299 to new customers. If the Apple Store is charging twice as much as Verizon, then how much is Apple charging for the new phone? Compare and contrast these 3 Greek Heroes:Jason, Hercules and Theseus**Question on Exam Study Guide, my exam is NEXT WEEK Tuesday, need answer ASAP**No links or files, I don't want to download something to get an answer, I will report your answer because it will be of no help to me How did the number of states in the union change between 1790 - 1850? Gaseous chlorine, Cl2, was combined with 0.532g of Titanium, and 2.108 g of TixCly were collected. What is the empirical formula of titanium chloride? If someone asked "Qu te gusta comer en el desayuno?" would an answer like "En el desayuno me gusta comer (breakfast item)." be reasonable? If not, what would be a correct answer? what would be a potential problem when collecting wind energy? Rudolph attends the Olympic Games in Rome. She wins three gold medals in track and field events, solidifying her reputation as one of the fastest women in the world. Rudolph is named Woman Athlete of the Year. Based on its use in the passage, it can be understood that the word solidifying belongs to which of the following word groups?Asilencing, restraining, suppressingBstrengthening, reinforcing, emphasizingCdelaying, hindering, obstructingDsucceeding, flourishing, thriving Question 4 A data analyst wants to include a line of code directly in their .rmd file in order to explain their process more clearly. What is this code called Why should companies create a front office instead of letting customers look for the specific department they need to get intouch with ;-; What is the haploid number of this species ? *PLEASE HELP* If f(x)= 4x^2+3 , findf(0)f(-2)