first we can find the slope between the two points by using the slope formula
m=(y₂-y₁)/(x₂-x₁)
m=(3-(-7))/(-3-2)
m=(3+7)/(-3-2)
m=10/-5
m= -2
now that we have the slope, we can set up our equation. slope-intercept form is:
y=mx+b
where m is the slope and b is the y-intercept.
since we have the slope, we can choose one of the points that we are given to plug in for x and y, and then solve for b
-7 = 2(-2) + b
-7 = -4 + b
-3 = b
now that we have all the values we need, we can put it into our slope-intercept formula.
y=mx+b
y=-2x+(-3)
y = -2x -3
hope this helps