Question

Can you help me with perpendicular lines and parallel lines?

Answer 1

Answer:

1a. Parallel

1b. Parallel

1c. Perpendicular

Step-by-step explanation:

Parallel lines never intersect. This means they have the same slope. Their equations will have the same value for slope in y=mx+b.

Perpendicular lines intersect at 90 degrees. Their slopes are negative reciprocals of each other. If the slope in y=2x+1 is m=2. Then the perpendicular line will be -1/2.

To determine if the lines are perpendicular or parallel, convert each equation to y=mx+b form.

1a. y=5/2 x -3

5x=2y - 4 becomes y=5/2x +2                       Parallel

1b. 2x+8y=-24 becomes y=-1/4 x-3

48y=-12x-144 becomes y= -1/4 x-3                  Parallel

1c. 2x-7y=-56 becomes y=2/7 x + 8

7x+2y=8 becomes y= -7/2 x + 4                     Perpendicular