Question

The slope, m, of a linear equation can be found using the formula m = StartFraction y 2 minus y a Over x 2 minus x 1 EndFraction., where the x- and y-values come from two ordered pairs, and (x1, y1) and (x2, y2).

Answer 1

Please check the explanation.

Explanation:

Given the points

• (x₁, y₁)

• (x₂, y₂)

Using the formula to determine the slope between (x₁, y₁) and (x₂, y₂) of the linear function

Slope = m = [y₂ - y₁] / [x₂ - x₁]

For example, let the points be

(x₁, y₁) = (1, 2)

(x₂, y₂) = (3, 4)

Determining the slope between

Slope = m = [y₂ - y₁] / [x₂ - x₁]

= [4 - 2] / [3 - 1]

= 2 / 2

= 1

Thus,

The slope of the line between the points (1, 2) and (3, 4) will be: m = 1