Question

A.-1/3 B.-1 C.-3/2 D.-2/3

Answer 1

Answer:

Hi there!

The answer to this question is: C. -3/2

Step-by-step explanation:

You first find the slope of the equation using the change of y over the change of x formula. You should get 2/3. Then it asks its perpendicular that is simply the negative reciprocal of the original slope. All you do is flip the fraction and make it negative, your final answer should be -3/2

Answer 2

Answer:

C

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 3, - 1 ) and (x₂, y₂ ) = (3, 3)

m = $\frac{3+1}{3+3}$ = $\frac{4}{6}$ = $\frac{2}{3}$

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{\frac{2}{3} }$ = - $\frac{3}{2}$ → C