Mathway

Visit Mathway on the web

Start 7-day free trial on the app

Start 7-day free trial on the app

Download free on Amazon

Download free in Windows Store

Take a photo of your math problem on the app

Algebra Examples

(1, 2)

$(1, 2)$ ,

(- 3, 8)

$(- 3, 8)$

Step 1

The midpoint formula is

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

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

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

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

Step 2

Set the

x_{M}

$x_{M}$ equal to the

x_{M}

$x_{M}$ coordinate.

x_{M} = \frac{x_{1} + x_{2}}{2}

$x_{M} = \frac{x_{1} + x_{2}}{2}$

Step 3

Solve for

x_{2}

$x_{2}$ .

x_{2} = 2 (x_{M}) - (x_{1})

$x_{2} = 2 (x_{M}) - (x_{1})$

Step 4

Substitute the values for

x_{M}

$x_{M}$ and

x_{1}

$x_{1}$ in

x_{2} = 2 (x_{M}) - (x_{1})

$x_{2} = 2 (x_{M}) - (x_{1})$ .

x_{2} = 2 \cdot (- 3) - (1)

$x_{2} = 2 \cdot (- 3) - (1)$

Step 5

Simplify the right side of

x_{2} = 2 \cdot (- 3) - (1)

$x_{2} = 2 \cdot (- 3) - (1)$ .

Tap for more steps...

Step 5.1

Simplify each term.

Tap for more steps...

Step 5.1.1

Multiply

2

$2$ by

- 3

$- 3$ .

x_{2} = - 6 - (1)

$x_{2} = - 6 - (1)$

Step 5.1.2

Multiply

- 1

$- 1$ by

1

$1$ .

x_{2} = - 6 - 1

$x_{2} = - 6 - 1$

x_{2} = - 6 - 1

$x_{2} = - 6 - 1$

Step 5.2

Subtract

1

$1$ from

- 6

$- 6$ .

x_{2} = - 7

$x_{2} = - 7$

x_{2} = - 7

$x_{2} = - 7$

Step 6

Set the

y_{M}

$y_{M}$ equal to the

y_{M}

$y_{M}$ coordinate.

y_{M} = \frac{y_{1} + y_{M}}{2}

$y_{M} = \frac{y_{1} + y_{M}}{2}$

Step 7

Solve for

y_{2}

$y_{2}$ .

y_{2} = 2 (y_{M}) - (y_{1})

$y_{2} = 2 (y_{M}) - (y_{1})$

Step 8

Substitute the values for

y_{M}

$y_{M}$ and

y_{1}

$y_{1}$ in

y_{2} = 2 (y_{M}) - (y_{1})

$y_{2} = 2 (y_{M}) - (y_{1})$ .

y_{2} = 2 \cdot (8) - (2)

$y_{2} = 2 \cdot (8) - (2)$

Step 9

Simplify the right side of

y_{2} = 2 \cdot (8) - (2)

$y_{2} = 2 \cdot (8) - (2)$ .

Tap for more steps...

Step 9.1

Simplify each term.

Tap for more steps...

Step 9.1.1

Multiply

2

$2$ by

8

$8$ .

y_{2} = 16 - (2)

$y_{2} = 16 - (2)$

Step 9.1.2

Multiply

- 1

$- 1$ by

2

$2$ .

y_{2} = 16 - 2

$y_{2} = 16 - 2$

y_{2} = 16 - 2

$y_{2} = 16 - 2$

Step 9.2

Subtract

2

$2$ from

16

$16$ .

y_{2} = 14

$y_{2} = 14$

y_{2} = 14

$y_{2} = 14$

Step 10

The end point is

(- 7, 14)

$(- 7, 14)$ .

(- 7, 14)

$(- 7, 14)$

Enter YOUR Problem

using Amazon.Auth.AccessControlPolicy;

Mathway requires javascript and a modern browser.

[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$