Algebra Examples

(- 6, 9)

$(- 6, 9)$ ,

(7, - 9)

$(7, - 9)$

Step 1

Slope is equal to the change in

y

$y$ over the change in

x

$x$ , or rise over run.

m = \frac{change in y}{change in x}

$m = \frac{change in y}{change in x}$

Step 2

The change in

x

$x$ is equal to the difference in x-coordinates (also called run), and the change in

y

$y$ is equal to the difference in y-coordinates (also called rise).

m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

Step 3

Substitute in the values of

x

$x$ and

y

$y$ into the equation to find the slope.

m = \frac{- 9 - (9)}{7 - (- 6)}

$m = \frac{- 9 - (9)}{7 - (- 6)}$

Step 4

Simplify.

Tap for more steps...

Step 4.1

Simplify the numerator.

Tap for more steps...

Step 4.1.1

Multiply

- 1

$- 1$ by

9

$9$ .

m = \frac{- 9 - 9}{7 - (- 6)}

$m = \frac{- 9 - 9}{7 - (- 6)}$

Step 4.1.2

Subtract

9

$9$ from

- 9

$- 9$ .

m = \frac{- 18}{7 - (- 6)}

$m = \frac{- 18}{7 - (- 6)}$

m = \frac{- 18}{7 - (- 6)}

$m = \frac{- 18}{7 - (- 6)}$

Step 4.2

Simplify the denominator.

Tap for more steps...

Step 4.2.1

Multiply

- 1

$- 1$ by

- 6

$- 6$ .

m = \frac{- 18}{7 + 6}

$m = \frac{- 18}{7 + 6}$

Step 4.2.2

Add

7

$7$ and

6

$6$ .

m = \frac{- 18}{13}

$m = \frac{- 18}{13}$

m = \frac{- 18}{13}

$m = \frac{- 18}{13}$

Step 4.3

Move the negative in front of the fraction.

m = - \frac{18}{13}

$m = - \frac{18}{13}$

m = - \frac{18}{13}

$m = - \frac{18}{13}$

Step 5

(- 6, 9), (7, - 9)

$(- 6, 9), (7, - 9)$

(

)

[

]

√



≥

















≤















∩

∪







∞











