Determine whether the following pair of lines is parallel pe

Determine whether the following pair of lines is parallel, perpendicular, or neither. 4x - y = - 8 2x + 8y =2 Choose the correct answer below.

Solution

4X-Y =-8

=>Y =4X+8

slope =4

2X+8Y =2

8Y=-2X+2

Y=(-1/4)X +(1/4)

slope =-1/4

product of slopes of 2 lines

=4*(-1/4)

=-1

as product of slopes is -1 , lines are perpendicular