Find the Midpoint (0,0) , (2a,0)

$(0, 0)$ , $(2 a, 0)$

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

$(\frac{0 + 2 a}{2}, \frac{0 + 0}{2})$

Step 3

Cancel the common factor of $0 + 2 a$ and $2$ .

Factor $2$ out of $0$ .

$(\frac{2 \cdot 0 + 2 a}{2}, \frac{0 + 0}{2})$

Factor $2$ out of $2 a$ .

$(\frac{2 \cdot 0 + 2 (a)}{2}, \frac{0 + 0}{2})$

Factor $2$ out of $2 (0) + 2 (a)$ .

$(\frac{2 (0 + a)}{2}, \frac{0 + 0}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(\frac{2 (0 + a)}{2 (1)}, \frac{0 + 0}{2})$

Cancel the common factor.

$(\frac{2 (0 + a)}{2 \cdot 1}, \frac{0 + 0}{2})$

Rewrite the expression.

$(\frac{0 + a}{1}, \frac{0 + 0}{2})$

Divide $0 + a$ by $1$ .

$(0 + a, \frac{0 + 0}{2})$

Step 4

Add $0$ and $a$ .

$(a, \frac{0 + 0}{2})$

Step 5

Cancel the common factor of $0 + 0$ and $2$ .

Factor $2$ out of $0$ .

$(a, \frac{2 (0) + 0}{2})$

Factor $2$ out of $0$ .

$(a, \frac{2 \cdot 0 + 2 \cdot 0}{2})$

Factor $2$ out of $2 \cdot 0 + 2 \cdot 0$ .

$(a, \frac{2 \cdot (0 + 0)}{2})$

Cancel the common factors.

Factor $2$ out of $2$ .

$(a, \frac{2 \cdot (0 + 0)}{2 (1)})$

Cancel the common factor.

$(a, \frac{2 \cdot (0 + 0)}{2 \cdot 1})$

Rewrite the expression.

$(a, \frac{0 + 0}{1})$

Divide $0 + 0$ by $1$ .

$(a, 0 + 0)$

Step 6

Add $0$ and $0$ .

$(a, 0)$

Find the Midpoint (0,0) , (2a,0)

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