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).

Please check the explanation.

Step-by-step explanation:

Given the points

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

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,