Algebra Examples

f (7) = - 1

$f (7) = - 1$ ,

g (3) = 4

$g (3) = 4$

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{4 - (- 1)}{3 - (7)}

$m = \frac{4 - (- 1)}{3 - (7)}$

Step 4

Simplify.

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Step 4.1

Simplify the numerator.

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Step 4.1.1

Multiply

- 1

$- 1$ by

- 1

$- 1$ .

m = \frac{4 + 1}{3 - (7)}

$m = \frac{4 + 1}{3 - (7)}$

Step 4.1.2

Add

4

$4$ and

1

$1$ .

m = \frac{5}{3 - (7)}

$m = \frac{5}{3 - (7)}$

m = \frac{5}{3 - (7)}

$m = \frac{5}{3 - (7)}$

Step 4.2

Simplify the denominator.

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Step 4.2.1

Multiply

- 1

$- 1$ by

7

$7$ .

m = \frac{5}{3 - 7}

$m = \frac{5}{3 - 7}$

Step 4.2.2

Subtract

7

$7$ from

3

$3$ .

m = \frac{5}{- 4}

$m = \frac{5}{- 4}$

m = \frac{5}{- 4}

$m = \frac{5}{- 4}$

Step 4.3

Move the negative in front of the fraction.

m = - \frac{5}{4}

$m = - \frac{5}{4}$

m = - \frac{5}{4}

$m = - \frac{5}{4}$

Step 5

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