Choose the Correct Slope of the Line that Passes Through the Points (−4, 8) and (−3, −6).

a) 7   b) 14   c) 0   d) -14

We will be using the slope formula for a line that passes through two points to answer this.

Answer: The Slope of the Line that Passes Through (−4, 8) and (−3, −6) is -14.

Let's solve this step by step.

Explanation:

Given that, (x₁,y₁) = (−4, 8) and (x₂,y₂) = (−3, −6)

The Slope of the Line that Passes Through (x₁,y₁) and (x₂,y₂) is given by:

Slope (m) = (y₂ - y₁) / (x₂ - x₁)

Substitue (x₁, y₁) and (x₂, y₂) with their given values.

m = (-6 - 8)/(-3 - (-4))

m = (-14) / (-3 + 4)

m = -14 / 1

m = -14

Hence, The Slope of the Line that Passes Through (−4, 8) and (−3, −6) is -14.