Question

Find the slope of the line through points (4, 6) and (-6,2).

Answer 1

Answer: Slope = 2/5

Concept:

Here, we need to know how to find the slope.

Slope = (y₂ - y₁) / (x₂ - x₁)

If you are still confused, please refer to the attachment below for a clearer version of the formula

Solve:

Given information

(x₁, y₁) = (-6, 2)

(x₂, y₂) = (4, 6)

Given formula

Slope = (y₂ - y₁) / (x₂ - x₁)

Substitute values into the formula

Slope = (6 - 2) / (4 - (-6))

Simplify values in the parentheses

REMEMBER to change [+, -] signs when there is a [-] sign in front

Slope = 4 / (4 + 6)

Slope = 4 / 10

Divide both numerator and denominator by 2 to get the simplest form

Slope = (4 ÷ 2) / (10 ÷ 2)

Slope = 2/5

Hope this helps!! :)

Please let me know if you have any questions