Question

What is the slope of a line perpendicular to x - 5y = -10?

Answer 1

you need to rewrite the equation in slope intercept form

y = 1/5 x + 2

the slope of the perpendicular is the negative reciprocal of the given line...

so whats the slope of the given line

Answer 2

1/5?

Answer 3

solve the equation for "y", see what you get

Answer 4

thats correct so the slope of the perpendicular is

\[m_{Perp} =-\frac{1}{m_{line}}\]

so the easy way to now approach is is flip the fraction... and change the sign..

this will be the slope of the perpendicular.