Writing Equations of Parallel and Perpendicular Lines

Mr. Otto's video tutorial covers section 3.4 on parallel and perpendicular lines. It explains how to identify and calculate the slopes of parallel and perpendicular lines, emphasizing that parallel lines have the same slope while perpendicular lines have opposite reciprocal slopes. The video includes example problems to illustrate these concepts and provides practice problems for students to try on their own.

What is the slope of a line that rises 3 units and runs 4 units?

• 3/4

• 4/3

• 1/3

• 3/1

What is true about the slopes of parallel lines?

• They are undefined

• They are zero

• They are negative reciprocals

• They are equal

If a line has a slope of 2/5, what is the slope of a line perpendicular to it?

• -5/2

• -2/5

• 5/2

• 2/5

What is the slope of a line perpendicular to y = -1/2x + 4?

• -1/2

• -2

• 2

• 1/2

What is the slope-intercept form of a line that passes through (2, 6) and is perpendicular to y = -1/2x + 4?

• y = 2x + 2

• y = -2x + 2

• y = 1/2x + 6

• y = -1/2x + 6

What is the slope of a line parallel to y = 2x + 11?

• -1/2

• 2

• -2

• 1/2

What is the slope-intercept form of a line that passes through (-3, -5) and is parallel to y = 2x + 11?

• y = 1/2x - 5

• y = -2x + 1

• y = -1/2x - 5

• y = 2x + 1

What is the slope-intercept form of a line that is parallel to y = -5x - 3 and has a y-intercept of -6?

• y = 1/5x - 6

• y = -1/5x - 6

• y = 5x - 6

• y = -5x - 6

What is the slope-intercept form of a line that passes through (2, -5) and is perpendicular to y = 2/3x - 1?

• y = 2/3x - 5

• y = -3/2x + 2

• y = 3/2x + 2

• y = -2/3x - 5

If two lines have slopes of 2/3 and 3/2, what is their relationship?

• Coinciding

• Neither

• Parallel

• Perpendicular