Question

Which of the following pairs of lines are perpendicular? Select all that apply.

Answer 1

Answer:

y  = $\frac{4}{5} x$ - 8

y = -$\frac{5x}{4}$ + 3

y  = $\frac{2}{3} x$ - 8

y = $\frac{-3}{2}x - 8$

Step-by-step explanation:

To know the pairs that are perpendicular lines, we need to understand what makes a line perpendicular to another.

Perpendicular lines generally have slopes;

      m and $-\frac{1}{m}$

So, any of the pairs with a negative inverse value of slope will be perpendicular.

     y  = $\frac{4}{5} x$ - 8         slope = $\frac{4}{5}$

     y = $-\frac{5x}{4} + 3$       slope  = $-\frac{5}{4}$

We see they are negative inverses

     y  = $\frac{2}{3} x$ - 8         slope  = $\frac{2}{3}$

     y = $\frac{-3}{2}x - 8$        slope = $-\frac{3}{2}$

These are also negative inverses.