10 Examples of Slope

Slope is a fundamental concept in mathematics that measures the steepness of a line or the rate of change between two variables.

In this article, we will discuss ten examples of slope in mathematics.

Examples of Slope

These are 10 examples of slope.

Example: 1

Find the slope of the line passing through (2,5) and (6,11).

Slope = (y2 – y1)/(x2 – x1) = (11 – 5)/(6 – 2) = 6/4 = 3/2

Example: 2

Find the slope of the line passing through (-3,4) and (1,0).

Slope = (y2 – y1)/(x2 – x1) = (0 – 4)/(1 – (-3)) = -4/4 = -1

Example: 3

Find the slope of the line passing through (1,-3) and (4,5)

Slope = (y2 – y1)/(x2 – x1) = (5 – (-3))/(4 – 1) = 8/3

Example: 4

Find the slope of the line passing through (5,2) and (-2,-3).

Slope = (y2 – y1)/(x2 – x1) = (-3 – 2)/(-2 – 5) = -5/-7 = 5/7

Example: 5

Find the slope of the line passing through (3,2) and (3,7).

Slope = (y2 – y1)/(x2 – x1) = (7 – 2)/(3 – 3) = 5/0 (undefined)

Example: 6

Find the slope of the line 2x + 3y = 6. Slope is the coefficient of x. Slope = -2/3

Example: 7

Find the slope of the line y = 3x – 2. Slope is the coefficient of x. Slope = 3

Example: 8

Find the slope of the line passing through (0,4) and (6,10).

Slope = (y2 – y1)/(x2 – x1) = (10 – 4)/(6 – 0) = 6/6 = 1

Example: 9

Find the slope of the line passing through (1,5) and (7,3).

Slope = (y2 – y1)/(x2 – x1) = (3 – 5)/(7 – 1) = -2/6 = -1/3

Example: 10

Find the slope of the line passing through (-5,8) and (-1,2).

Slope = (y2 – y1)/(x2 – x1) = (2 – 8)/(-1 – (-5)) = -6/4 = -3/2