Slope Worksheets With Answers - Chapter 4.4 Parallel And Perpendicular Lines (Page 30 of 40) in pdf

Slope Worksheets With Answers - Chapter 4.4 Parallel And Perpendicular Lines Page 30

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

4-4 Parallel and Perpendicular Lines

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

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:

Carmen and Chase are finding an equation of the line that is perpendicular to the graph of y =

x + 2 and passes through the point ( 3, 5). Is either of them correct? Explain your reasoning.

Both students used the formula correctly and used the correct point, but only Carmen used the correct slope for a

line that is perpendicular to y =

x + 2. The correct slope is 3 because it is the opposite reciprocal of the slope of

the original line.

Illustrate how you can determine whether two lines are parallel or perpendicular. Write an

equation for the graph that is parallel and an equation for the graph that is perpendicular to the line shown. Explain

your reasoning

Sample answer: If two equations have the same slope, then the lines are parallel. If the product of their slopes equals

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1, then the lines are perpendicular. The graph of

Slope Worksheets With Answers - Chapter 4.4 Parallel And Perpendicular Lines Page 30