Algebra Examples

What is the midpoint of the points

$(3, 5)$ and

$(5, 9)$ ?

Step 1

Use the midpoint formula to find the midpoint of the line segment.

$(\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})$

Step 2

Substitute in the values for

$(x_{1}, y_{1})$ and

$(x_{2}, y_{2})$ .

$(\frac{3 + 5}{2}, \frac{5 + 9}{2})$

Step 3

Add

$3$ and

$5$ .

$(\frac{8}{2}, \frac{5 + 9}{2})$

Step 4

Divide

$8$ by

$2$ .

$(4, \frac{5 + 9}{2})$

Step 5

Add

$5$ and

$9$ .

$(4, \frac{14}{2})$

Step 6

Divide

$14$ by

$2$ .

$(4, 7)$

Step 7