Slope Worksheets With Answers - Chapter 4.4 Parallel And Perpendicular Lines Page 28
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40Find a point that is found on both equations. Set the equations equal to each other to find the x-coordinate. Then
4-4 Parallel and Perpendicular Lines
substitute that value into one of the equations to find the corresponding y-coordinate.
So to form a parallelogram, point D must be (2, 2).
c. A minimum of 2 points must be moved to change a parallelogram into a rectangle. Either C and D should be
moved or A and B should be moved to make
If the line through ( 2, 4) and (5, d) is parallel to the graph of y = 3x + 4, what is the value of d?
The slope of y = 3x + 4 is 3, so the slope of the line through the points must also be 3.
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?
Page 28
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