Solve the following equation for y

Y-3=-5 (x - (-2))

Y=-5x-7

Steps:

y-3=-5 (x - (-2))

y-3=-5 (x+2)

y-3=-5x-10

y=-5x-10+3

y=-5x-7

y = - 5x - 7

Step-by-step explanation:

So first we distribute the brackets inside: y - 3 = - 5 (x + 2)

Then we distribute again: y - 3 = - 5x - 10

We are trying to put it in y = mx + b form so we have to isolate y: Add 3 to both sides

y = - 5x - 7