Question

What is a slope of (-20,-4), (-12, -10)

Answer 1

Slope = -¾

Explanation:

Given the points, (-20,-4) and (-12, -10), use the following formula to solve for the slope:

m = (y₂ - y₁)/(x₂ - x₁)

Let (x₁, y₁) = (-20,-4)

(x₂, y₂) = (-12, -10)

Substitute these values into the slope formula:

m = (y₂ - y₁)/(x₂ - x₁)

`m = (-10 - (-4))/(-12 - (-20))`

`m = (-10 + 4)/(-12 + 20)`

`m = (-6)/(8)`

Simplify the fraction into its lowest terms by dividing the numerator and the denominator by 2:

`m = (-6)/(8)` ÷
`(2)/(2)`

m = -¾

Therefore, the slope of the line is -¾