Answer:
y = -4x -4
Explanation:
we need to get two points to calculate the gradient
points chosen are (-2,3) and (-3,7)
Gradient = change in y coordinates/ change in X coordinates
G = (7-3)/(-3- -2)
= 4/-1
= -4
to write the equation in slope -intercept form we need one known point (-2,3) and one unknown point (X,y) and the gradient.
G = ∆y/∆x
-4 = (y - 3)/ (X - -2)
-4 = (y-3)/ (X+2)
we now cross multiply
-4(X + 2) = y - 3
-4x -8 = y-3
-4x -8+4 = y
y = -4x -4