Slope Worksheets With Answers - Chapter 4.4 Parallel And Perpendicular Lines Page 18
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404-4 Parallel and Perpendicular Lines
Write an equation in slope-intercept form for the line that is perpendicular to the graph of 3x + 2y = 8 and passes
through the y-intercept of that line.
Write the equation in slope-intercept form to find the slope.
The slope of the equation is
, so the slope of the perpendicular line would be the opposite reciprocal, or
. Find
the y-intercept.
Use the y-intercept (0, 4) and the slope,
, to find the perpendicular line.
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.
Page 18
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y = 2x
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