Question

What is the slope of the line that passes through the points (-3,3) and (1,-5)

Answer 1

The slope of the line that passes through (–3, 3) and (1, –5) is –2

Solution:

Given slope of the line passes through two points (–3, 3) and (1, –5).

Formula for the slope of the line passes through two points is

`m=(y_2-y_1)/(x_2-x_1)`

Here,
`x_1=-3, x_2=1, y_1=3,y_2=-5`

Substitute these in the slope formula, we get

⇒
`m=((-5)-3)/(1-(-3))`

⇒
`m=(-5-3)/(1+3)`

⇒
`m=(-8)/(4)`

⇒
`m=-2`

Hence, the slope of the line that passes through (–3, 3) and (1, –5) is –2.