Answer:
y=-2x+2
Step-by-step explanation:
Since the 2 points given are (-3,8) and (2,-2) and the slope intercept form equation is y=mx+b with m as the slope, you can find slope by the formula:
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
Enter the 2 points in.
= -2-8/2-(-3)
= -10/5
= -2
The slope is -2.
Enter the slope (m) into the equation y=mx+b
y=-2x+b
Now, to find the y intercept (b) enter one of the points into the equation. (2,-2)
-2=-4+b
b=-2+4
b=2
So the equation is, y=-2x+2
