Question

Determine whether the pair of equations represent parallel lines, perpendicular lines, or neither.

12x + 4y = 16

24x + 8y = 36

Answer 1

Parallel

Explanation:

Parallel lines have the same slope but different y-intercepts. If you multiply the top equation by 2, you get:

2(12x + 4y = 16)

24x + 8y = 32

This shows that both lines have the same slope, but then you find the y-intercepts, they are different:

1st equation y-int = 4

2nd equation y-int = 9/2 or 4.5