Slope Worksheets With Answers - Chapter 4.4 Parallel And Perpendicular Lines Page 4
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40The slope of the third equation is .
The slope of y = 2x is the opposite reciprocal of the slope of 2y = x and 4y = 2x + 4, so it is perpendicular to the
4-4 Parallel and Perpendicular Lines
other two graphs. And, the slopes of 2y = x and 4y = 2x + 4 are equal, so they are parallel.
y =
x, 3y = x, y =
x
The slope of the first equation is . Write the second equation in slope-intercept form.
The slope of the second equation is . The slope of the third equation is
.
None of the slopes are equal or opposite reciprocals, so none of the graphs of the equations are parallel or
perpendicular.
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.
( 2, 3),
The slope of the line with equation
. The slope of the perpendicular line is the opposite
reciprocal of
, or 2.
( 1, 4), y = 3x + 5
The slope of the line with equation y = 3x + 5 is 3. The slope of the perpendicular line is the opposite reciprocal of 3,
or
.
Page 4
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