Find the Midpoint (70,4786) , (8586,270)

$(70, 4786)$ , $(8586, 270)$

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

$(\frac{70 + 8586}{2}, \frac{4786 + 270}{2})$

Step 3

Cancel the common factor of $70 + 8586$ and $2$ .

Factor $2$ out of $70$ .

$(\frac{2 \cdot 35 + 8586}{2}, \frac{4786 + 270}{2})$

Factor $2$ out of $8586$ .

$(\frac{2 \cdot 35 + 2 \cdot 4293}{2}, \frac{4786 + 270}{2})$

Factor $2$ out of $2 \cdot 35 + 2 \cdot 4293$ .

$(\frac{2 \cdot (35 + 4293)}{2}, \frac{4786 + 270}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(\frac{2 \cdot (35 + 4293)}{2 (1)}, \frac{4786 + 270}{2})$

Cancel the common factor.

$(\frac{2 \cdot (35 + 4293)}{2 \cdot 1}, \frac{4786 + 270}{2})$

Rewrite the expression.

$(\frac{35 + 4293}{1}, \frac{4786 + 270}{2})$

Divide $35 + 4293$ by $1$ .

$(35 + 4293, \frac{4786 + 270}{2})$

Step 4

Add $35$ and $4293$ .

$(4328, \frac{4786 + 270}{2})$

Step 5

Cancel the common factor of $4786 + 270$ and $2$ .

Factor $2$ out of $4786$ .

$(4328, \frac{2 \cdot 2393 + 270}{2})$

Factor $2$ out of $270$ .

$(4328, \frac{2 \cdot 2393 + 2 \cdot 135}{2})$

Factor $2$ out of $2 \cdot 2393 + 2 \cdot 135$ .

$(4328, \frac{2 \cdot (2393 + 135)}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(4328, \frac{2 \cdot (2393 + 135)}{2 (1)})$

Cancel the common factor.

$(4328, \frac{2 \cdot (2393 + 135)}{2 \cdot 1})$

Rewrite the expression.

$(4328, \frac{2393 + 135}{1})$

Divide $2393 + 135$ by $1$ .

$(4328, 2393 + 135)$

Step 6

Add $2393$ and $135$ .

$(4328, 2528)$

Step 7

Find the Midpoint (70,4786) , (8586,270)

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