Slope Worksheets With Answers - Chapter 4.4 Parallel And Perpendicular Lines Page 11

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4-4 Parallel and Perpendicular Lines
The two streets are not perpendicular because their slopes are not opposite reciprocals.
CCSS PERSEVERANCE Determine whether the graphs of the following equations are parallel or
perpendicula r. Explain.
2x
8y = 24, 4x + y = 2, x
4y = 4
Write the equations in slope-intercept form.
The slope of 2x
8y = 24 is
.
The slope of 4x + y = 2 is 4.
The slope of x
4y = 4 is
.
The slope of 4x + y = 2 is the opposite reciprocal of the slope of 2x
8y = 24 and x
4y = 4, so it is perpendicular
to the other two graphs. And, the slopes of 2x
8y = 24 and x
4y = 4 are equal, so they are parallel.
3x
9y = 9, 3y = x + 12, 2x
6y = 12
Write the equations in slope-intercept form.
Equation 1:
Page 11
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