Rewrite the equation in slope intercept form. Then determine whether the lines are parallel.

Question

2y= x + 15

x= 2y + 5

Answer 1

2y = x + 15

y = (1/2)x + 15/2

slope = 1/2

 

x = 2y + 5

x - 5 = 2y

(1/2)x - 5/2 = y

slope = 1/2

Since the slopes are equal, the lines are parallel.