Question

M=-1/4 What is the parallel slope and the perpendicular slope?

Answer 1

Parallel slope = -1/4 and perpendicular slope = 4.

Explanation:

If an equation of a line y = mx +c is given then it's gradient ( slope) is m.

then the slope parallel to this line will be equal to the slope of the original line that is equal to m.

We know for two lines perpendicular to each other formula is

m × m' = -1 or
`m' = -(1)/(m)`

Now for m = -1/4

Slope of parallel line slope will be = -1/4

and slope of perpendicular line
`= -(1)/(m) = +((1)/((1)/(4) )) = 4`

So the answer is (-1/4) and 4.

Answer 2

The slope of parallel line = -1/4

The slope of the perpendicular line = 4

Explanation:

Given: Slope (m) = -1/4

The parallel lines have the same slope.

The perpendicular lines have the product of the slopes is -1. That is, the slopes of perpendicular lines are opposite reciprocals .

Therefore, the slope of parallel line = -1/4

The slope of the perpendicular line = 4 (The negative reciprocal of the given slope)

Thank you.