Slope Worksheets With Answers - Chapter 4.4 Parallel And Perpendicular Lines Page 29

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4-4 Parallel and Perpendicular Lines
So, the value of d is 25.
REASONING Which key features of the graphs of two parallel lines are the same, and which are different? Which
key features of the graphs of two perpendicular lines are the same, and which are different?
Parallel lines: similarities: The domain and range are all real numbers, the functions are both either increasing or
decreasing on the entire domain, the end behavior is the same, and the lines will have the same slope; differences: x-
and y-
Perpendicular lines: similarities: The domain and range are all real numbers, and the lines have one point in common;
differences: One function is increasing and the other is decreasing on the entire domain, as x decreases, y increases
for one function and decreases for the other and as x increases, y increases for one function and decreases for the
other. The lines will have slopes that are opposite reciprocals.
Graph a line that is parallel and a line that is perpendicular to y = 2x
1.
To graph a line that is parallel to y = 2x
1, draw a line with the slope of 2 that has a y-intercept other than 1. To
graph a line that is perpendicular to y = 2x
1, draw a line with the slope of
.
Sample answer:
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Carmen and Chase are finding an equation of the line that is perpendicular to the graph of y =

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