Pre-Algebra Examples

f (x) = 4 x - 7

$f (x) = 4 x - 7$

Step 1

Rewrite the function as an equation.

y = 4 x - 7

$y = 4 x - 7$

Step 2

Use the slope-intercept form to find the slope and y-intercept.

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Step 2.1

The slope-intercept form is

y = m x + b

$y = m x + b$ , where

m

$m$ is the slope and

b

$b$ is the y-intercept.

y = m x + b

$y = m x + b$

Step 2.2

Find the values of

m

$m$ and

b

$b$ using the form

y = m x + b

$y = m x + b$ .

m = 4

$m = 4$

b = - 7

$b = - 7$

Step 2.3

The slope of the line is the value of

m

$m$ , and the y-intercept is the value of

b

$b$ .

Slope:

4

$4$

y-intercept:

(0, - 7)

$(0, - 7)$

Slope:

4

$4$

y-intercept:

(0, - 7)

$(0, - 7)$

Step 3

Any line can be graphed using two points. Select two

x

$x$ values, and plug them into the equation to find the corresponding

y

$y$ values.

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Step 3.1

Create a table of the

x

$x$ and

y

$y$ values.

\begin{matrix} x & y 0 & - 7 1 & - 3 \end{matrix}

$\begin{array}{c} x & y \\ 0 & - 7 \\ 1 & - 3 \end{array}$

\begin{matrix} x & y 0 & - 7 1 & - 3 \end{matrix}

$\begin{array}{c} x & y \\ 0 & - 7 \\ 1 & - 3 \end{array}$

Step 4

Graph the line using the slope and the y-intercept, or the points.

Slope:

4

$4$

y-intercept:

(0, - 7)

$(0, - 7)$

\begin{matrix} x & y 0 & - 7 1 & - 3 \end{matrix}

$\begin{array}{c} x & y \\ 0 & - 7 \\ 1 & - 3 \end{array}$

Step 5

$f (x) = 4 x - 7$

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