Answer:
1a. Parallel
1b. Parallel
1c. Perpendicular
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