Answer:
y=-4x-3
Step-by-step explanation:
Hi there!
We are given the following two points: (-2,5) and (-1,1)
We want to write the equation of the line that passes through these two lines in slope-intercept form
Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept
First, let's find the slope
The formula for the slope (m) calculated from 2 points is
, where
and
are points
We have everything we need to calculate the slope, but let's label the value of the points to avoid any confusion
![x_1=-2\\y_1=5\\x_2=-1\\y_2=1](https://tex.z-dn.net/?f=x_1%3D-2%5C%5Cy_1%3D5%5C%5Cx_2%3D-1%5C%5Cy_2%3D1)
Now substitute into the formula
m=![\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
m=![\frac{1-5}{-1--2}](https://tex.z-dn.net/?f=%5Cfrac%7B1-5%7D%7B-1--2%7D)
Simplify
m=![\frac{1-5}{-1+2}](https://tex.z-dn.net/?f=%5Cfrac%7B1-5%7D%7B-1%2B2%7D)
Subtract
m=![\frac{-4}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B-4%7D%7B1%7D)
Divide
m=-4
Now substitute -4 as m into the equation:
y=-4x+b
Now we need to find b
As the equation passes through both (-2, 5) and (-1, 1), we can use either point to help solve for b.
Taking (-2,5) for example:
Substitute -2 as x and 5 as y:
5=-4(-2)+b
Multiply
5=8+b
Subtract 8 from both sides
-3=b
Substitute -3 as b.
y=-4x-3
Hope this helps!
See more on this topic here: brainly.com/question/27304092