Question

What is the slope of the line that passes through the points left bracket, minus, 2, comma, 6, right bracket(−2,6) and left bracket, minus, 12, comma, 2, right bracket(−12,2)? Write your answer in simplest form.

Answer 1

The slope of the linear equation is -0.4

How to find the slope?

If a line passes through two points (x₁, y₁) and (x₂, y₂), then the slope of the line is given by:

a = (y₂ - y₁)/(x₂ - x₁)

Here we have the points (-2, 6) and (-12, 2), replacing that in the formula we will get the slope:

a = (2 - 6)/(-12 + 2)

a = -4/10 = -0.4