5-6 Parallel and Perpendicular Lines

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Presentation transcript:

5-6 Parallel and Perpendicular Lines

Parallel Lines: lines in the same plane that never intersect Perpendicular Lines: Lines that form right angles

PARALLEL LINES: Have the same slope But different y-intercepts

Problem 1: Writing an Equation of a Parallel Line A line passes through (12,5) and is parallel to the graph of 𝑦= 2 3 𝑥−1. What equation represents the line in slope-intercept form?

A line passes through (−3,−1) and is parallel to the graph of 𝑦=2𝑥+3 A line passes through (−3,−1) and is parallel to the graph of 𝑦=2𝑥+3. What equation represents the line in slope-intercept form?

PERPENDICULAR LINES: Have the opposite-reciprocal slopes What does opposite-reciprocal mean?

Problem 3: Writing an Equation of a Perpendicular Line What is the equation that represents the line that passes through (2,4) and is perpendicular to the graph of 𝑦= 1 3 𝑥−1

What is the equation that represents the line that passes through (1,8) and is perpendicular to the graph of 𝑦=2𝑥+1

Problem 2: Classifying Lines Are the graphs of 4𝑦=−5𝑥+12 and y= 4 5 𝑥−8 parallel, perpendicular, or neither? Why?

Are the graphs of 6𝑦=−𝑥+6 𝑎𝑛𝑑 𝑦=− 1 6 𝑥+6 parallel, perpendicular, or neither? Why?

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