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Lines Slope

The slope of a line is the ratio of the vertical

change to the horizontal change between any two

points on the line.

Here, (x1, y1) and (x2, y2) are two points on the

line.

Example 1 Find the slope of the line that

contains the points (- 5, 3) and (4, 0).

Here, x1 - 5, y1 3, x2 4, and y2 0.

Lines Slope

Example 2 Find the slope of the line that

contains the points (- 1, 3) and (- 1, - 2).

Slide 2

Lines Slope

In example two, the slope was found to be

undefined. Here the two points lie on a

vertical line.

Facts About Special Lines

The slope of a vertical line is undefined.

The slope of a horizontal line is zero.

Parallel lines have the same slope.

Perpendicular lines slopes that are opposite in

sign and reciprocals of each other.

Slide 3

Lines Slope

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