Slope Math Example 2

Follow the full solution, then compare it with the other examples linked below.

Example 2

easy
Find the slope of the line through (1,4)(1, 4) and (5,12)(5, 12).

Solution

  1. 1
    Slope: m=12−45−1=84=2m = \frac{12 - 4}{5 - 1} = \frac{8}{4} = 2.

Answer

m=2m = 2
Apply the slope formula: rise over run, using any two points on the line.

About Slope

A measure of the steepness and direction of a line, calculated as the ratio of vertical change (rise) to horizontal change (run) between any two points on the line. Slope is written as m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1} and indicates how much yy changes for each unit increase in xx.

Learn more about Slope →

More Slope Examples

Example 1 easy

Find the slope of the line passing through points [formula] and [formula].

Example 3 medium

A line passes through [formula] and [formula]. What is its slope?

Example 4 medium

Find the slope of the line passing through [formula] and [formula].

Example 5 hard

A line has slope [formula] and passes through [formula]. Find the [formula]-value when [formula].

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