Question

Y = - 4x + 3 & x - 4y = 8 : parallel or perpendicular or neither​

Answer 1

perpendicular

Explanation:

Parallel lines have equal slopes

The product of the slopes of perpendicular lines = - 1

The equation of a line in slope- intercept form is

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

y = - 4x + 3 ← is in slope- intercept form

with slope m = - 4

x - 4y = 8 ( subtract x from both sides )

- 4y = - x + 8 ( divide through by - 4 )

y =
`(1)/(4)` x + 2 ← in slope- intercept form

with slope m =
`(1)/(4)`

Since the slopes are not equal the lines are not parallel

- 4 ×
`(1)/(4)` = - 1

Then the lines are perpendicular