5 6 Parallel And Perpendicular Lines

Name: __________________________________

5-6 Parallel and Perpendicular Lines

Two distinct lines in a coordinate plane either intersect or are parallel. Parallel lines are lines in the same plane that never

intersect.

You can use the fact that the slopes of parallel lines are the same to write the equation of line parallel to a given line.

Step 1: Identify the slope of the given line. The slope of the graph of y = 2x + 3 is __________.

The slope of any line parallel to the graph of y = 2x + 3 is __________.

Step 2: Write an equation in slope-intercept form of the line that passes through (–3, –1) with the slope __________.

y – y

= m(x – x

)

Start with point-slope form.

Substitute the slope for m and the given point for (x

, y

)

Distributive Property

Solve for y.

Example: 1. Write an equation in slope-intercept form of the line that passes through point (–5, 7) and

is parallel to the graph of �� = −

�� − 3.

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