what is the answer to, Find the slope of the line perpendincular to 2x-5y=-10?

Question

how do you fine perpendicular lines ?

Answer 1

Given line equation 2x-5y = -10

Subtract 2x from each side.

-5y = -2x-10

Divide to each side by negitive 5.

-5y/-5 = (-2x/-5) -(10/-5)

y = 2x/5+2

Compare it to slope intercept form y = mx+b.

Slopeof the given line is 2/5.

We know that perpendicular lines slopes are negitive reciprocal to each other.

So perpendicular line slope is -5/2.