Question

Line C passes through the points (-3,-6) and (-1,-12). What is the slooe of the line perpendicular to the line C

Answer 1

Answer:

the answer is -1/3

Step-by-step explanation:

here is your step by step solution

Answer 2

Answer:

$- \frac{1}{3}$

Step-by-step explanation:

The product of the gradients of perpendicular lines is -1.

Let the slope of the line perpendicular to line C be x.

(slope of Line C)(x)= -1

x= -1 ÷ (slope of Line C)

Let's find the slope of line C using the gradient formula.

$gradient = \frac{y1 - y2}{x1 - x2}$

Gradient of Line C

$= \frac{ - 6 - ( - 12)}{ - 3 - ( - 1)} \\ = \frac{ - 6 + 12}{ - 3 + 1} \\ = \frac{-6}{ - 2} \\ = 3$

Thus substituting gradient of Line C= 3,

x= -1÷ (3)

x= $- \frac{1}{3}$