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 introduces the concept of slopes, explains the slope formula, and demonstrates how to calculate and compare slopes using example points. The tutorial concludes by summarizing the conditions for parallel and perpendicular lines.

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

• They must have the same slope.

• They must be on the same plane.

• They must intersect at a right angle.

• They must have different slopes.

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

• Y2 + Y1 / X2 + X1

• X2 - X1 / Y2 - Y1

• Y2 - Y1 / X2 - X1

• X2 + X1 / Y2 + Y1

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

• 2

• 0

• 1

• -1

What happens when two lines have the same slope?

• They are perpendicular.

• They are parallel.

• They do not intersect.

• They intersect at a right angle.

What is the result of the slope calculation for points (2, -1) and (1, -2)?

• -1

• 0

• 2

• 1

What is the slope of a line perpendicular to a line with a slope of 2?

• -1/2

• 1/2

• -2

• 2

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

• They intersect but do not form a right angle.

• They have the same slope.

• They do not intersect.

• They have negative reciprocal slopes.

What is the negative reciprocal of a slope of 1?

• 0

• 1

• -1

• -2

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

• 2

• -1

• 1

• 0

Which of the following is true for lines with negative reciprocal slopes?

• They have the same slope.

• They are perpendicular.

• They are parallel.

• They do not intersect.