how do i solve 4x+2y=-6 for y and then find two points on the graph

Question

Solve the equation 4x+2y=-6 for y. Then find two points on the graph of the equation by letting x=0 and then x=5.

 

Answer 1

4x +2y =-6

2y = -6 -4x

y = -3 -2x

 

When x is 0, y = -3-2*0 = -3

 

When x =5 , y = -3 -2*5 = -3 - 10 =-13 

 

So the line passes through ( 0,-3), and (5, -13).