Identifying Parallel and Perpendicular Lines from Graphs

This video tutorial explains the concepts of parallel and perpendicular lines, including their properties and how to determine if lines are parallel, perpendicular, or neither. It provides examples to illustrate these concepts, showing how to calculate slopes and identify relationships between lines. The video encourages viewers to practice finding equations and graphing lines to verify their understanding.

What is a key characteristic of parallel lines?

• They intersect at multiple points.

• They have the same slope.

• They intersect at a right angle.

• They have different slopes.

How do perpendicular lines intersect?

• At a 90-degree angle.

• They do not intersect.

• At a 60-degree angle.

• At a 45-degree angle.

If a line has a slope of m, what is the slope of a line perpendicular to it?

• m

• -m

• 1/m

• -1/m

Given the points (4, -3) and (-8, 0), what is the slope of the line passing through them?

• 3/4

• -3/4

• 1/4

• -1/4

Given the points (-1, -1) and (-2, 6), what is the slope of the line passing through them?

• -1/7

• 1/7

• -7

• 7

Are the lines passing through (4, -3) and (-8, 0) and the line passing through (-1, -1) and (-2, 6) parallel, perpendicular, or neither?

• Parallel

• Perpendicular

• Both

• Neither

Given the points (1, -2) and (-3, 14), what is the slope of the line passing through them?

• -4

• 4

• -1/4

• 1/4

Given the points (5, -2) and (0, -3), what is the slope of the line passing through them?

• 1/4

• -4

• 4

• -1/4

Are the lines passing through (1, -2) and (-3, 14) and the line passing through (5, -2) and (0, -3) parallel, perpendicular, or neither?

• Perpendicular

• Both

• Neither

• Parallel

Given the points (3, 3) and (-6, -3), what is the slope of the line passing through them?

• -3/2

• 3/2

• -2/3

• 2/3