Exploring Parallel and Perpendicular Lines

The video tutorial explains how to graph parallel and perpendicular lines by analyzing their slopes and Y-intercepts. It demonstrates that lines with the same slope are parallel, while lines with slopes that are negative reciprocals are perpendicular. The tutorial uses graphing techniques to visually confirm these properties and provides methods to verify the relationships between lines using simple tools like notebook paper.

What is the slope of the first line graphed in the video?

• 4 over 1

• 1 over 3

• 3 over 1

• 2 over 1

What is the y-intercept of the second line graphed in the video?

• 2

• -3

• -2

• 3

Why are the first two lines parallel?

• They intersect at one point.

• They have different slopes.

• They have the same y-intercept.

• They have the same slope.

What is the slope of the first line in the second pair of lines?

• 3 over 2

• -3 over 2

• 2 over 3

• -2 over 3

What is the y-intercept of the second line in the second pair of lines?

• 2

• -1

• -2

• 1

What is the slope of the first line in the third pair of lines?

• -3 over 1

• -1 over 3

• 1 over 3

• 3 over 1

What is the slope of the second line in the third pair of lines?

• -3 over 1

• 1 over 3

• -1 over 3

• 3 over 1

What is the relationship between the slopes of perpendicular lines?

• They are equal.

• They are negative reciprocals.

• They are positive reciprocals.

• They are both positive.

What is the slope of the first line in the final pair of lines?

• -2 over 3

• 2 over 3

• 3 over 2

• -3 over 2

What is the slope of the second line in the final pair of lines?

• -3 over 2

• 3 over 2

• -2 over 3

• 2 over 3