Algebra Examples

$(- 1, 3)$ , $(2, 4)$

Step 1

Slope is equal to the change in $y$ over the change in $x$ , or rise over run.

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

Step 2

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

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

Step 3

Substitute in the values of $x$ and $y$ into the equation to find the slope.

$m = \frac{4 - (3)}{2 - (- 1)}$

Step 4

Simplify.

Tap for more steps...

Step 4.1

Simplify the numerator.

Tap for more steps...

Step 4.1.1

Multiply $- 1$ by $3$ .

$m = \frac{4 - 3}{2 - (- 1)}$

Step 4.1.2

Subtract $3$ from $4$ .

$m = \frac{1}{2 - (- 1)}$

Step 4.2

Simplify the denominator.

Tap for more steps...

Step 4.2.1

Multiply $- 1$ by $- 1$ .

$m = \frac{1}{2 + 1}$

Step 4.2.2

Add $2$ and $1$ .

$m = \frac{1}{3}$

Step 5