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

the answer is -1/3

Explanation:

here is your step by step solution

Answer 2

`- (1)/(3)`

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 = (y1 - y2)/(x1 - x2)`

Gradient of Line C

`= ( - 6 - ( - 12))/( - 3 - ( - 1)) \\ = ( - 6 + 12)/( - 3 + 1) \\ = (-6)/( - 2) \\ = 3`

Thus substituting gradient of Line C= 3,

x= -1÷ (3)

x=
`- (1)/(3)`