Understanding Slopes and Line Relationships

The video tutorial explains how to determine if two lines are parallel, perpendicular, or neither by calculating their slopes. It covers the use of the slope formula and how to identify negative reciprocals. The tutorial also demonstrates how to verify these relationships graphically by showing the lines intersecting at a right angle.

What is the first step in determining if two lines are parallel, perpendicular, or neither?

• Check if the lines intersect.

• Calculate the slopes of the lines.

• Find the midpoint of the lines.

• Determine the length of the lines.

What does it mean if two lines have equal slopes?

• The lines are perpendicular.

• The lines intersect at a right angle.

• The lines are neither parallel nor perpendicular.

• The lines are parallel.

How is the slope of a line calculated using ordered pairs?

• By subtracting the x-coordinates from the y-coordinates.

• By multiplying the x-coordinates and y-coordinates.

• By dividing the change in y by the change in x.

• By adding the x-coordinates and y-coordinates.

What is the slope of the first line given the points (1, 3) and (-4, 5)?

• 5/2

• -2/5

• -5/2

• 2/5

What is the slope of the second line given the points (7, -2) and (5, -7)?

• -5/2

• 5/2

• 2/5

• -2/5

What relationship do the slopes -2/5 and 5/2 have?

• They are negative reciprocals.

• They are positive reciprocals.

• They are neither equal nor reciprocals.

• They are equal.

How can you verify that two slopes are negative reciprocals?

• By checking if their product is one.

• By checking if their sum is zero.

• By checking if their product is zero.

• By checking if their product is negative one.

What is the result of multiplying the slopes -2/5 and 5/2?

• 2

• 0

• -1

• 1

What does the graphical representation of the two lines show?

• The lines are parallel.

• The lines are identical.

• The lines do not intersect.

• The lines intersect at a right angle.

What angle is formed when two lines are perpendicular?

• 45 degrees

• 60 degrees

• 180 degrees

• 90 degrees