are the lines perpendicular, parallel or neither

Question

are the lines perpendicular, parallel or neither 4y-2x=8 and 3x-6y-1=5

Answer 1

This stuff used to confuse me, too! Parallel lines have the same slope. Perpendicular lines have opposite, reciprocal slopes.

4y - 2x = 8

4y = 2x + 8

4y/4 = (2x + 8)/4

y = (1/2)x + 2 -----> slope of 1/2

3x - 6y - 1 = 5

-6y = -3x + 6

-6y/-6 = (-3x + 6)/-6

y = (1/2)x - 1 ------> slope of 1/2

Thaaaaaat means they're parallel.

Had one had a slope of -2 (-2/1, the opposite reciprocal of 1/2), they would have been perpendicular.