Question

Is the equation parallel perpendicular or neither ?

y = 5/4 x+1 and y = 5/4 x-7

Answer 1

Parallel

Explanation:

The equation of a line in slope - intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Both given equations are in this form, that is

y =
`(5)/(4)` x + 1 → m =
`(5)/(4)`

y =
`(5)/(4)` x - 7 → m =
`(5)/(4)`

Parallel lines have equal slopes thus the lines are parallel