3-3 Slopes of Lines Objectives: To find the slopes of lines.

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Presentation transcript:

3-3 Slopes of Lines Objectives: To find the slopes of lines. To use slopes to identify parallel and perpendicular lines.

Vocabulary Slope If and only if

Slope In a coordinate plane, the slope of a line is the ratio of its vertical rise over its horizontal run.

Example 1

Example 1 cont.

Postulate 3-2 Two non-vertical lines have the same slope if and only if they are parallel.

Postulate 3-3 Two non-vertical lines are perpendicular if and only if the product of their slopes is -1. Hint: opposite reciprocals

If And Only If If both a conditional and its converse are true, it can be written in if and only if form.

Example 2

Example 3

Homework 3-3 Worksheet