Finding Equations of Parallel and Perpendicular Lines

In this video, George Woodbury explains how to find the equation of a line that is either parallel or perpendicular to a given line using the slope-intercept form. The video includes examples of finding parallel and perpendicular line equations both algebraically and graphically. It covers the process of determining slopes, using negative reciprocals for perpendicular lines, and substituting values to find the y-intercept. The video also provides practical examples from MyMathLab to reinforce the concepts.

What form is used to find the equation of a line in this video?

• Point-slope form

• General form

• Slope-intercept form

• Standard form

What is the slope of the line parallel to x + 7y = 4?

• 1/7

• -1/7

• 7

• -7

What is the y-intercept of the line parallel to x + 7y = 4 and passing through the point (7, 9)?

• 10

• 4

• 7

• 9

What is the slope of a line perpendicular to y = 9x + 5?

• -9

• 9

• 1/9

• -1/9

What is the y-intercept of the line perpendicular to y = 9x + 5 and passing through the point (3, 9)?

• 3

• 9

• 26/3

• 5

What are the coordinates of the point used in the MyMathLab example for finding a parallel line?

• (3, -2)

• (-3, -2)

• (-3, 2)

• (3, 2)

What is the slope of the line in the MyMathLab example for finding a parallel line?

• -6

• 6

• -1

• 1

What is the y-intercept of the line parallel to the given line in the MyMathLab example?

• -1

• 1

• 0

• 2

What is the slope of the line in the MyMathLab example for finding a perpendicular line?

• -3

• 1/3

• -1/3

• 3

What is the y-intercept of the line perpendicular to the given line in the MyMathLab example?

• 1/3

• 11/3

• 5/3

• 2/3