Finding Endpoints Using the Midpoint Formula

What is the first step in solving the problem of finding an endpoint given a midpoint and one endpoint?

• Guess the coordinates of the endpoint

• Calculate the distance between the points

• Plot the given points on a graph

• Directly apply the midpoint formula

What are the coordinates of the given midpoint in the problem?

• (-3, 1)

• (-3, -5)

• (-6, -2)

• (-9, 1)

Which formula is used to find the unknown endpoint?

• Distance formula

• Slope formula

• Midpoint formula

• Area formula

In the midpoint formula, what do x1 and y1 represent?

• The coordinates of the unknown endpoint

• The coordinates of the known endpoint

• The average of the x and y coordinates

• The coordinates of the midpoint

What is the next step after plugging in the known values into the midpoint formula?

• Calculate the distance between the points

• Set up separate equations for x and y coordinates

• Plot the midpoint on the graph

• Guess the coordinates of the endpoint

What operation is used to eliminate the denominator in the equations?

• Division

• Addition

• Multiplication

• Subtraction

What is the value of x2 after solving the equation?

• -6

• -3

• -9

• -12

What is the value of y2 after solving the equation?

• 1

• -5

• 4

• -2

What are the coordinates of the new endpoint?

• (-3, -5)

• (-6, -2)

• (-3, 1)

• (-9, 1)

What should you do after finding the coordinates of the new endpoint?

• Recalculate the midpoint

• Guess another point

• Verify by plotting the point on the graph

• Check the distance between points