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Examples and instructions on how to calculate the slope of a line using the formula: slope = (y2-y1) / (x2-x1). Several examples are given to illustrate the concept.
Typology: Lecture notes
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Slope The slope of a line is determined by any two points on a line and describes the steepness of the line. It is often referred to as rise and can be calculated using the formula: run Given two points on the line known as (x 1 ,y 1 ) and (x 2 ,y 2 ): slope = y 2 y (^1) x 2 x (^1)
Example 1 Find the slope of the line that passes through (1,2) and (3,4). Use the slope equation: slope = y 2 y (^1) x 2 x (^1)
Example 3 Find the slope of the line that passes through (1,2) and (1,2). Use the slope equation: slope = y 2 y (^1) x 2 x (^1)
Example 4 Find the slope of the line that passes through (1,2) and (1,3). Use the slope equation: slope = y 2 y (^1) x 2 x (^1)
Find the slope between each pair of points.
Example 6 Find the slope of the line that passes through (3,4) and (2,8). Use the slope equation: slope = y 2 y (^1) x 2 x (^1)
Example 8 Find the slope of the line that passes through (3,4) and (4,4). Use the slope equation: slope = y 2 y (^1) x 2 x (^1)
Example 9 Find the slope of the line. Use the slope equation: slope = y 2 y (^1) x 2 x (^1)
More Slope Activity:
Perpendicular lines have slopes whose product is 1.
