Question

Find the midpoint of the segment with endpoints of (-1, 7) and (3, -3) andenter its coordinates as an ordered pair. If necessary, express coordinates asfractions, using the slash mark (7) for the fraction bar.

Answer 1

The two endpoints we have are (-1,7) and (3,-3).

And we need to find the midpoint.

Step 1. Label the given coorfinates as (x1,y1) and (x2,y2):

`\begin{gathered} x_1=-1 \\ y_1=7 \\ x_2=3 \\ y_2=-3 \end{gathered}`

Step 2. Use the midpoint formula:

`((x_1+x_2)/(2),(y_1+y_2)/(2))`

Substituting the values for x1, x2, y1, and y2 that we found in step 1:

`((-1+3)/(2),(7-3)/(2))`

Step 3. Solve the resulting operations to find the coordinates of the midpoint:

`((2)/(2),(4)/(2))`

Solving the divisions:

`(1,2)`

The midpoint is (1,2).

Answer: (1,2)