Understanding Slopes and Line Relationships

The video tutorial explains how to determine if two lines are parallel, perpendicular, or neither by comparing their slopes. It begins with an introduction to the concept of slopes and their significance in identifying parallel and perpendicular lines. The tutorial then demonstrates how to calculate the slopes of two lines using the slope formula. By comparing these slopes, it is shown that if the slopes are equal, the lines are parallel, and if they are negative reciprocals, the lines are perpendicular. The video concludes with a summary of these concepts and examples.

What must be true for two lines to be considered parallel?

• They must intersect at a right angle.

• They must have the same slope.

• They must be on the same plane.

• They must have different slopes.

Which formula is used to calculate the slope of a line?

• y1 - y2 over x1 - x2

• x1 + x2 over y1 + y2

• x2 - x1 over y2 - y1

• y2 - y1 over x2 - x1

If the slope of line AB is 1, what is the slope of a line parallel to it?

• -1

• 0

• 1

• 2

What is the slope of line CD if it is parallel to line AB with a slope of 1?

• 0

• 2

• -1

• 1

What is the relationship between two lines with negative reciprocal slopes?

• They are collinear.

• They are parallel.

• They are perpendicular.

• They are neither parallel nor perpendicular.

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

• 2

• -1/2

• 1/2

• -2

What happens if two lines have the same slope but different y-intercepts?

• They are parallel.

• They are perpendicular.

• They intersect at one point.

• They are collinear.

How do you determine if two lines are neither parallel nor perpendicular?

• They are collinear.

• They have the same slope.

• They have different slopes that are not negative reciprocals.

• They intersect at a right angle.

What is the negative reciprocal of a slope of 1?

• -1

• -1/2

• 0

• 1

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

• -1

• 1

• 2

• 0