Algebra Examples

y = \frac{4}{5} x - 3

$y = \frac{4}{5} x - 3$

Step 1

Rewrite in slope-intercept form.

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Step 1.1

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 1.2

Reorder terms.

y = \frac{4}{5} x - 3

$y = \frac{4}{5} x - 3$

y = \frac{4}{5} x - 3

$y = \frac{4}{5} x - 3$

Step 2

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

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Step 2.1

Find the values of

m

$m$ and

b

$b$ using the form

y = m x + b

$y = m x + b$ .

m = \frac{4}{5}

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

b = - 3

$b = - 3$

Step 2.2

The slope of the line is the value of

m

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

b

$b$ .

Slope:

\frac{4}{5}

$\frac{4}{5}$

y-intercept:

(0, - 3)

$(0, - 3)$

Slope:

\frac{4}{5}

$\frac{4}{5}$

y-intercept:

(0, - 3)

$(0, - 3)$

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

Reorder terms.

y = \frac{4}{5} x - 3

$y = \frac{4}{5} x - 3$

Step 3.2

Create a table of the

x

$x$ and

y

$y$ values.

\begin{matrix} x & y 0 & - 3 5 & 1 \end{matrix}

$\begin{array}{c} x & y \\ 0 & - 3 \\ 5 & 1 \end{array}$

\begin{matrix} x & y 0 & - 3 5 & 1 \end{matrix}

$\begin{array}{c} x & y \\ 0 & - 3 \\ 5 & 1 \end{array}$

Step 4

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

Slope:

\frac{4}{5}

$\frac{4}{5}$

y-intercept:

(0, - 3)

$(0, - 3)$

\begin{matrix} x & y 0 & - 3 5 & 1 \end{matrix}

$\begin{array}{c} x & y \\ 0 & - 3 \\ 5 & 1 \end{array}$

Step 5