Question

Line l has a slope of...

Answer 1

Hey there! :)

Answer:

Option C.

Step-by-step explanation:

A perpendicular line to 2/3 will be the reciprocal and negative of this fraction. Therefore:

Slope of perpendicular line = -3/2.

Remember, the equation for solving for the slope is:

$m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}$

We must find points that when plugged into this equation, equal to -3/2.

Plugging in the points in option A:

$\frac{2}{3} \neq \frac{-3}{2}$

Option B:

$\frac{3}{4} \neq \frac{-3}{2}$

Option C: This is the correct answer.

$\frac{-3}{2} = \frac{-3}{2}$

Option D:

$\frac{2}{10}\neq \frac{-3}{2}$

Answer 2

Hi the answer is c. Hope this helped:)