SOLUTION: Find the value of y so that the line passing through (–3, y) and (4, 4) has a slope of –2.

Hi, 

Slope -2 Or -2/1 tells us as x increases by one, y decreases by 2 Or that

as x decreases by one, y increases by 2

( 4, 4)

(-3, y)

Here, x has decreased by 7, therefore y must increase by 14 so as to satisfy the slope conditions (14/-7) = - 2/1

(-3, 18) is a point on this line

y = 18



y = mx + b  (y =-2x + b   4 = -2*4 + b   b =12)

y= -2x + 12