Slope Worksheets With Answers - Chapter 4.4 Parallel And Perpendicular Lines Page 12
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40The 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
4-4 Parallel and Perpendicular Lines
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:
The slope of 3x
9y = 9 is
.
The slope of 3y = x + 12 is
.
The slope of 2x
6y = 12 is
.
The slopes of 3x
9y = 9, 3y = x + 12, and 2x
6y = 12 are all equal, so they are all parallel.
Write an equation in slope-intercept form for the line that passes through the given point and is
perpendicular to the graph of the equation.
( 3, 2), y = 2x + 4
The slope of the line with equation y = 2x + 4 is 2. The slope of the perpendicular line is the opposite reciprocal of
2, or
.
Page 12
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