What is the slope of the line passing through (-3, 5) and (5, -3)?

Solution:

Given points are (x₁, y₁) = (-3,5)

(x₂, y₂) = (5, 3)

Slope, m = (y₂ - y₁)/(x₂ - x₁)

m = (-3 - 5)/(5 - (-3))

m = -8/8

m = -1

Note:

Slope of the line can also be calculated if the angle(θ) made by the line with positive direction of x axis is given using slope = m = tan θ

Example:

If the line makes an angle 30° with the positive direction of the x axis then find the slope.

Solution:

Slope of line = m = tan 30° = √3/3

What is the slope of the line passing through (-3, 5) and (5, -3)?

Summary:

The slope of the line passing through (-3, 5) and (5, -3) is -1