Respuesta :
Answer:
Step-by-step explanation:
[tex]y=mx+b\\ \\ m=\frac{-7-8}{8-\ -2}=\frac{-15}{10}=\ -\frac{3}{2}\\ \\ y=\ -\frac{3x}{2}+b,\ (-2,8)\\ \\ 8=\ -\frac{3(-2)}{2}+b\\ \\ 8=3+b,\ b=5\\ \\ y=\frac{10-3x}{2}[/tex]
Answer: y = - 3/2x + 5
Step-by-step explanation:
To write the equation in slope intercept form, you will have to find the slope and the y-intercept.
(-2,8) (8,-7)
To find the slope using these points, you will find the difference in the y coordinates and divide it by the difference in the x coordinates.
-7 - 8 = - 15
8 - (-2) = 10
Slope: -15/10 = -3/2
The slope is -3/2
Now using the formula y=mx+b , use one of the given points and the slope to solve for b , which is the y-intercept.
8 = -3/2(-2) + b
8 = 3 + b
-3 -3
b = 5