Question

What is the slope of a line that is perpendicular to the line who’s equation is y=4/5x-3

Answer 1

This line y = 4/5 x - 3 has slope = 4/5

Perpendicular lines, slope is opposite and reciprocal so slope of a line that is perpendicular to the line y = 4/5 x - 3 is -5/4

Answer

- 5/4

Answer 2

The slope of a line perpendicular to a line with slope x is -$\frac{1}{x}$. it is the opposite reciprocal. The slope of this line is 4/5. The first step in finding the slope of a line perpendicular to this line is to take the reciprocal of it, which gives us 5/4. The final step is to multiply it by negative 1. This gives us our answer of -5/4.