Determine the endpoint given one endpoint and midpoint algebraically

The video tutorial explains how to find the other endpoint of a line segment when given one endpoint and the midpoint. It begins by introducing the points and the task, followed by an explanation of the midpoint concept. The midpoint formula is introduced, and equations are set up to solve for the unknown endpoint. The tutorial concludes with solving these equations to find the coordinates of the other endpoint.

What is the main task described in the problem?

• Determining the slope of a line

• Finding the midpoint of two given points

• Finding the other endpoint when given a midpoint and one endpoint

• Calculating the distance between two points

What does the midpoint of a line segment represent?

• The point exactly halfway between two endpoints

• The average of the y-coordinates only

• The endpoint with the larger coordinates

• The average of the x-coordinates only

Which formula is used to find the midpoint of a line segment?

• (X1 * X2) / 2, (Y1 * Y2) / 2

• (X1 + X2) / 2, (Y1 + Y2) / 2

• X1 - X2, Y1 - Y2

• X1 + X2, Y1 + Y2

What is the first step in solving for the unknown endpoint using the midpoint formula?

• Subtract the coordinates of the known endpoint from the midpoint

• Multiply the midpoint coordinates by 2

• Divide the coordinates of the known endpoint by 2

• Add the coordinates of the known endpoint to the midpoint

How do you eliminate the fraction in the midpoint formula equation?

• Divide both sides by 2

• Subtract the same number from both sides

• Add the same number to both sides

• Multiply both sides by 2

What are the coordinates of the unknown endpoint found in the problem?

• (-1, 6)

• (2, 9)

• (4, 3)

• (0, 0)

What is the significance of point D in the context of this problem?

• It is the midpoint of the line segment

• It is a point outside the line segment

• It is the known endpoint

• It is the unknown endpoint that was calculated