Graph (8x)/5-2y=-8

$\frac{8 x}{5} - 2 y = - 8$

Solve for $y$ .

Subtract $\frac{8 x}{5}$ from both sides of the equation.

$- 2 y = - 8 - \frac{8 x}{5}$

Divide each term in $- 2 y = - 8 - \frac{8 x}{5}$ by $- 2$ and simplify.

Divide each term in $- 2 y = - 8 - \frac{8 x}{5}$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{- 8}{- 2} + \frac{- \frac{8 x}{5}}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{- 8}{- 2} + \frac{- \frac{8 x}{5}}{- 2}$

Divide $y$ by $1$ .

$y = \frac{- 8}{- 2} + \frac{- \frac{8 x}{5}}{- 2}$

Simplify the right side.

Simplify each term.

Divide $- 8$ by $- 2$ .

$y = 4 + \frac{- \frac{8 x}{5}}{- 2}$

Multiply the numerator by the reciprocal of the denominator.

$y = 4 - \frac{8 x}{5} \cdot \frac{1}{- 2}$

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{8 x}{5}$ into the numerator.

$y = 4 + \frac{- 8 x}{5} \cdot \frac{1}{- 2}$

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

$y = 4 + \frac{2 (- 4 x)}{5} \cdot \frac{1}{- 2}$

Factor $2$ out of $- 2$ .

$y = 4 + \frac{2 (- 4 x)}{5} \cdot \frac{1}{2 (- 1)}$

Cancel the common factor.

$y = 4 + \frac{2 (- 4 x)}{5} \cdot \frac{1}{2 \cdot - 1}$

Rewrite the expression.

$y = 4 + \frac{- 4 x}{5} \cdot \frac{1}{- 1}$

Multiply $\frac{- 4 x}{5}$ by $\frac{1}{- 1}$ .

$y = 4 + \frac{- 4 x}{5 \cdot - 1}$

Multiply $5$ by $- 1$ .

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

Dividing two negative values results in a positive value.

$y = 4 + \frac{4 x}{5}$

Rewrite in slope-intercept form.

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

$y = m x + b$

Reorder $4$ and $\frac{4 x}{5}$ .

$y = \frac{4 x}{5} + 4$

Reorder terms.

$y = \frac{4}{5} x + 4$

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

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

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

$b = 4$

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

Slope: $\frac{4}{5}$

y-intercept: $(0, 4)$

Slope: $\frac{4}{5}$

y-intercept: $(0, 4)$

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

Write in $y = m x + b$ form.

Reorder $4$ and $\frac{4 x}{5}$ .

$y = \frac{4 x}{5} + 4$

Reorder terms.

$y = \frac{4}{5} x + 4$

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

$\begin{array}{c} x & y \\ 0 & 4 \\ 5 & 8 \end{array}$

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

Slope: $\frac{4}{5}$

y-intercept: $(0, 4)$

$\begin{array}{c} x & y \\ 0 & 4 \\ 5 & 8 \end{array}$

Graph (8x)/5-2y=-8

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