Finding Endpoints and Midpoints

This video tutorial explains how to find an endpoint when given a midpoint and another endpoint. It begins with an introduction to the problem and a graphical representation of the points. The midpoint formula is explained, and a modified version is used to substitute known values to find the unknown endpoint. The video walks through solving the equations to determine the endpoint coordinates, concluding with a verification of the solution on a graph.

What is the main objective of the video tutorial?

• To learn how to draw a graph

• To understand the concept of coordinates

• To find an endpoint given a midpoint and another endpoint

• To find the midpoint given two endpoints

Which formula is primarily used to find the missing endpoint?

• Distance formula

• Midpoint formula

• Quadratic formula

• Slope formula

What is the x-coordinate of the known endpoint in the example?

• -1

• -3

• 5

• 3

What is the y-coordinate of the midpoint in the example?

• 3

• 5

• -1

• -3

What is the x-coordinate of the midpoint in the example?

• -3

• 3

• 5

• -1

What is the y-coordinate of the known endpoint in the example?

• 3

• -3

• 5

• -1

What is the first step in solving for the unknown x-coordinate?

• Divide both sides by 2

• Subtract 3 from both sides

• Multiply both sides by 2

• Add 3 to both sides

What operation is performed to isolate x1 in the equation?

• Multiplication

• Subtraction

• Addition

• Division

What is the final x-coordinate of the missing endpoint?

• 3

• -5

• -3

• 5

What is the final y-coordinate of the missing endpoint?

• 6

• 11

• -6

• -11