Perpendicular Bisectors and Midpoints

The video tutorial explains how to find the equation of a line that is a perpendicular bisector of two points. It covers calculating the midpoint, determining the perpendicular slope using the opposite reciprocal method, and formulating the equation of the line. The tutorial also discusses adjusting the equation format for consistency.

What is the main objective of the problem discussed in the video?

• To find the area of a triangle

• To find the equation of a perpendicular bisector

• To find the volume of a cylinder

• To find the equation of a circle

What does a perpendicular bisector do?

• It divides a line segment into three equal parts

• It forms a 45-degree angle with a line segment

• It divides a line segment into two equal parts and forms a 90-degree angle

• It forms a 60-degree angle with a line segment

How is the midpoint of a line segment calculated?

• By adding the x-coordinates and y-coordinates separately and dividing by 3

• By subtracting the x-coordinates and y-coordinates separately

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

• By adding the x-coordinates and y-coordinates separately and dividing by 2

What is the midpoint of the points (4, 2) and (6, -2)?

• (5, 0)

• (5, 1)

• (6, 0)

• (4, 0)

How is the slope of a line calculated?

• By dividing the difference in y-coordinates by the difference in x-coordinates

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

• By multiplying the x-coordinates and y-coordinates

• By adding the x-coordinates and y-coordinates

What is the slope of the line connecting the points (4, 2) and (6, -2)?

• -2

• 1

• -1

• 2

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

• 2

• -1/2

• 1/2

• -2

What is the opposite reciprocal of -2?

• 1/2

• -2

• 2

• -1/2

Which point does the perpendicular bisector pass through?

• (0, 0)

• (5, 0)

• (6, -2)

• (4, 2)

What is the formula used to write the equation of a line?

• y = mx + b

• y = x + b

• y = mx - b

• y = m + bx