Consider the line y = 5/2x.

What is the slope of a line perpendicular to this line?

What is the slope of a line parallel to this line?

Perpendicular: - 2/5

Parallel: 5/2

Step-by-step explanation:

The slope-intercept formula is y=mx+b, where mx is the slope.

So in the equation y = 5/2x, 5/2 is understood as the slope.

To find a perpendicular slope you have to do the opposite (sign), reciprocal (flip denominator and numerator) of the original number.

Therefore 5/2 become negative, and then the numerator and denominator switch sides. (-2/5)

Parallel slope is the exact same as the original one so nothing changes. (5/2)