Question

How do you find the slope that is perpendicular to the line `y = 3/5x - 8`?

Answer 1

Slope of perpendicular: `color(green)(-5/3)`

Explanation:

If a line has a slope of `color(green)(m)` then all lines perpendicular to it have a slope of `color(green)(-1/m)`

`y=color(green)(3/5)x-8` is in slope-intercept form with a slope of `color(green)(m=3/5)`

Therefore any line perpendicular to `y=3/5x-8` has a slope of:
`color(white)("XXX")-1/(3/5)= -5/3`