Exercise 5 Page 59

We can use the Midpoint Formula to find the other endpoint. Since we know the midpoint's and one of the endpoint's x-coordinates we substitute them in x_M=x_1+x_2/2,and solve for x_2.

x_M=x_1+x_2/2

SubstituteII

x_M= 1, x_1= -3

1=-3+x_2/2

MultEqn

LHS * 2=RHS* 2

2=-3+x_2

AddEqn

LHS+3=RHS+3

5=x_2

RearrangeEqn

Rearrange equation

x_2=5

The x-coordinate of the other endpoint is 5. Now, we find the y-coordinate similarly.

y_M=y_1+y_2/2

SubstituteII

y_M= -1, y_1= 2

-1=2+y_2/2

MultEqn

LHS * 2=RHS* 2

-2=2+y_2

SubEqn

LHS-2=RHS-2

-4=y_2

RearrangeEqn

Rearrange equation

y_2=-4

The coordinates for the other endpoint is F(5,-4).