Algebra Examples

What is the midpoint of the points $(2, 4)$ and $(- 5, 5)$ ?

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

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

Step 3

Subtract $5$ from $2$ .

$(\frac{- 3}{2}, \frac{4 + 5}{2})$

Step 4

Move the negative in front of the fraction.

$(- \frac{3}{2}, \frac{4 + 5}{2})$

Step 5

Add $4$ and $5$ .

$(- \frac{3}{2}, \frac{9}{2})$

Step 6