Pre-Algebra Examples

$- 8 y = - 2 x + 16$

Step 1

Divide each term in $- 8 y = - 2 x + 16$ by $- 8$ and simplify.

Tap for more steps...

Step 1.1

Divide each term in $- 8 y = - 2 x + 16$ by $- 8$ .

$\frac{- 8 y}{- 8} = \frac{- 2 x}{- 8} + \frac{16}{- 8}$

Step 1.2

Simplify the left side.

Tap for more steps...

Step 1.2.1

Cancel the common factor of $- 8$ .

Tap for more steps...

Step 1.2.1.1

Cancel the common factor.

$\frac{- 8 y}{- 8} = \frac{- 2 x}{- 8} + \frac{16}{- 8}$

Step 1.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 2 x}{- 8} + \frac{16}{- 8}$

Step 1.3

Simplify the right side.

Tap for more steps...

Step 1.3.1

Simplify each term.

Tap for more steps...

Step 1.3.1.1

Cancel the common factor of $- 2$ and $- 8$ .

Tap for more steps...

Step 1.3.1.1.1

Factor $- 2$ out of $- 2 x$ .

$y = \frac{- 2 (x)}{- 8} + \frac{16}{- 8}$

Step 1.3.1.1.2

Cancel the common factors.

Tap for more steps...

Step 1.3.1.1.2.1

Factor $- 2$ out of $- 8$ .

$y = \frac{- 2 (x)}{- 2 (4)} + \frac{16}{- 8}$

Step 1.3.1.1.2.2

Cancel the common factor.

$y = \frac{- 2 x}{- 2 \cdot 4} + \frac{16}{- 8}$

Step 1.3.1.1.2.3

Rewrite the expression.

$y = \frac{x}{4} + \frac{16}{- 8}$

Step 1.3.1.2

Divide $16$ by $- 8$ .

$y = \frac{x}{4} - 2$

Step 2

Rewrite in slope-intercept form.

Tap for more steps...

Step 2.1

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Step 2.2

Reorder terms.

$y = \frac{1}{4} x - 2$

Step 3

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

Tap for more steps...

Step 3.1

Find the values of $m$ and $b$ using the form $y = m x + b$ .

$m = \frac{1}{4}$

$b = - 2$

Step 3.2

The slope of the line is the value of $m$ , and the y-intercept is the value of $b$ .

Slope: $\frac{1}{4}$

y-intercept: $(0, - 2)$

Slope: $\frac{1}{4}$

y-intercept: $(0, - 2)$

Step 4

Any line can be graphed using two points. Select two $x$ values, and plug them into the equation to find the corresponding $y$ values.

Tap for more steps...

Step 4.1

Reorder terms.

$y = \frac{1}{4} x - 2$

Step 4.2

Create a table of the $x$ and $y$ values.

$\begin{array}{c} x & y \\ 0 & - 2 \\ 4 & - 1 \end{array}$

Step 5

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

Slope: $\frac{1}{4}$

y-intercept: $(0, - 2)$

$\begin{array}{c} x & y \\ 0 & - 2 \\ 4 & - 1 \end{array}$

Step 6