Respuesta :

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

green line slope = -1/6

red line slope = ?

Step 02:

perpendicular lines

m' = - 1 / m

[tex]m\text{'}=\text{ }\frac{-\frac{1}{1}}{\frac{-1}{6}}=6[/tex]

m' = 6

The answer is:

red line slope = 6