Slope Worksheets With Answers - Chapter 4.4 Parallel And Perpendicular Lines Page 19

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4-4 Parallel and Perpendicular Lines
Determine whether the graphs of each pair of equations are parallel , perpendicular , or neither.
y = 4x + 3
4x + y = 3
Write the second equation in slope-intercept form.
The slope of y = 4x + 3 is 4 and the slope of 4x + y = 3 is 4. They are neither equal nor opposite reciprocals, so the
graphs of the equations are neither parallel nor perpendicular.
y = 2x
2x + y = 3
Write the second equation in slope-intercept form.
The slope of the both equations is 2 so the graphs of the equations are parallel.
3x + 5y = 10
5x
3y = 6
Write the equations in slope-intercept form.
Page 19
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The slope of the 3x + 5y = 10 is
3y = 6 is
. They are opposite reciprocals, so the
x
graphs of the equations are perpendicular.

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