Understanding Slopes of Parallel and Perpendicular Lines

The video tutorial explains how to determine the slopes of parallel and perpendicular lines. Parallel lines have the same slope, while perpendicular lines have slopes that are negative reciprocals of each other. The tutorial provides examples to illustrate these concepts, showing how to calculate the slope of a line parallel or perpendicular to a given line. It covers various cases, including lines with fractional and whole number slopes, and emphasizes the importance of understanding these relationships in geometry.

What is the main task in the problem discussed in the video?

• To measure the angle between two lines

• To determine the slope of parallel and perpendicular lines

• To calculate the area of a triangle

• To find the length of a line segment

Which of the following is true about parallel lines?

• They have the same slope but different intercepts

• They form a 90-degree angle

• They have different slopes

• They always intersect

If a line has a slope of 3/4, what is the slope of a line parallel to it?

• -4/3

• 3/4

• -3/4

• 4/3

What is the relationship between the slopes of perpendicular lines?

• They are equal

• They are both negative

• They are negative reciprocals

• They are both positive

How do you find the negative reciprocal of a slope?

• Multiply the slope by -1

• Add 1 to the slope

• Interchange the numerator and denominator and change the sign

• Square the slope

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

• 1/2

• 2

• -2

• -1/2

Given a line with a slope of -3/4, what is the slope of a line perpendicular to it?

• 4/3

• -4/3

• -3/4

• 3/4

If a line has a slope of 7, what is the slope of a line parallel to it?

• -1/7

• 1/7

• -7

• 7

What is the slope of a line perpendicular to a line with a slope of 7?

• -7

• 1/7

• -1/7

• 7

What is the negative reciprocal of 7?

• -1/7

• 1/7

• -7

• 7