Answer:
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)
