Understanding Perpendicular Lines

The video tutorial explains how to determine if lines are perpendicular by examining their slopes. Perpendicular lines intersect at right angles, and their slopes are negative inverses of each other. The tutorial demonstrates this concept using three lines, calculating their slopes, and identifying which lines are perpendicular. Line A and line B are found to be perpendicular, while line C is not perpendicular to either of the other two lines.

What is the defining characteristic of perpendicular lines?

• They are parallel.

• They intersect at right angles.

• They intersect at any angle.

• They never intersect.

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

• -m

• -1/m

• 1/m

• m

What is the product of the slopes of two perpendicular lines?

• 0

• 2

• 1

• -1

What is the slope of Line A?

• -3

• 1

• 3

• -1/3

How do you convert a line from standard form to slope-intercept form?

• Divide both sides by the x-term.

• Add the x-term to both sides.

• Subtract the x-term from both sides and divide by the coefficient of y.

• Multiply both sides by the x-term.

What is the slope of Line B after conversion to slope-intercept form?

• -3

• 1/3

• -1/3

• 3

Which lines are confirmed to be perpendicular in the video?

• Line A and Line C

• Line B and Line C

• Line A and Line B

• None of the lines

What is the slope of Line C?

• -3

• 3

• -1/3

• 1/3

Why is Line C not perpendicular to Line A?

• Their slopes are not negative inverses.

• Their slopes are positive inverses.

• Their slopes are equal.

• They do not intersect.

Which of the following is true about Line C?

• It is not perpendicular to either Line A or Line B.

• It is parallel to Line A.

• It is perpendicular to Line A.

• It is perpendicular to Line B.