Exploring Parallel and Perpendicular Lines

This video tutorial explores the relationship between the slopes of parallel and perpendicular lines. It explains that parallel lines have the same slope, while perpendicular lines have opposite reciprocal slopes. The video provides examples to calculate slopes and determine if lines are parallel or perpendicular, using the slope formula and basic arithmetic operations.

What is the measure of steepness in a line called?

• Angle

• Length

• Slope

• Height

If a line rises 3 units and runs 2 units, what is its slope?

• 1/2

• 3/2

• 2/3

• 2/1

What is the slope of a line that is parallel to a line with a slope of 3/2?

• -3/2

• -2/3

• 3/2

• 2/3

What type of slopes do perpendicular lines have?

• Same slopes

• Opposite slopes

• Reciprocal slopes

• Opposite reciprocal slopes

If one line has a slope of 2/3, what is the slope of a line perpendicular to it?

• -3/2

• 2/3

• -2/3

• 3/2

What is the slope of a line passing through the points (5,2) and (7,5)?

• 2/3

• 3/2

• 1/2

• 5/7

If two lines have the same slope, what is their relationship?

• Coinciding

• Parallel

• Intersecting

• Perpendicular

What is the slope of a line passing through the points (-2,-6) and (0,-3)?

• 3/2

• -3/2

• 2/3

• -2/3

What is the slope of a line passing through the points (2,-1) and (6,-7)?

• 3/2

• -2/3

• 2/3

• -3/2

If one line has a slope of 2/3 and another has a slope of -3/2, what is their relationship?

• Parallel

• Perpendicular

• Intersecting

• Coinciding