Differentiating Parallel and Perpendicular Lines

Alison, a math teacher, explains how to determine if lines are parallel or perpendicular using slopes. Parallel lines have equal slopes and never intersect, while perpendicular lines intersect at a 90-degree angle. To find if lines are perpendicular, multiply their slopes; the product should be -1. To find a perpendicular slope, take the negative reciprocal of the given slope. The video concludes with an invitation to explore more resources.

What property do parallel lines share regarding their slopes?

• Negative reciprocal slopes

• Zero slopes

• Different slopes

• Identical slopes

If a line has a slope of 2/3, which of the following slopes would indicate a parallel line?

• 3/2

• -2/3

• 2/3

• -3/2

How can you determine if two lines are parallel?

• Their slopes are negative reciprocals

• Their slopes are identical

• Their slopes are reciprocal

• Their slopes are zero

If two lines are perpendicular, what is the product of their slopes?

• 0

• 1

• Undefined

• -1

Which of the following is a correct example of perpendicular line slopes?

• Slopes of 1 and 1

• Slopes of 1 and -1

• Slopes of 2 and -1/2

• Slopes of 2 and 2

If a line has a slope of -1/2, what must be the slope of a line perpendicular to it?

• -1/2

• 1/2

• 2

• -2

What does it mean for two lines to be perpendicular?

• They intersect at a 90-degree angle

• They do not intersect

• They intersect at any angle

• They are parallel

What is the slope of a line perpendicular to a line with slope 3?

• 3

• -3

• -1/3

• 1/3

What is the negative reciprocal of -4/5?

• -4/5

• 5/4

• -5/4

• 4/5

Which method is used to find the slope of a line perpendicular to another given line?

• Dividing the original slope by -1

• Multiplying the original slope by -1

• Finding the positive reciprocal

• Finding the negative reciprocal