Graph y-4/3x=7

$y - \frac{4}{3} x = 7$

Add $\frac{4 x}{3}$ to both sides of the equation.

$y = 7 + \frac{4 x}{3}$

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 $7$ and $\frac{4 x}{3}$ .

$y = \frac{4 x}{3} + 7$

Reorder terms.

$y = \frac{4}{3} x + 7$

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

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

$m = \frac{4}{3}$

$b = 7$

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

Slope: $\frac{4}{3}$

y-intercept: $(0, 7)$

Slope: $\frac{4}{3}$

y-intercept: $(0, 7)$

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 $7$ and $\frac{4 x}{3}$ .

$y = \frac{4 x}{3} + 7$

Reorder terms.

$y = \frac{4}{3} x + 7$

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

$\begin{array}{c} x & y \\ 0 & 7 \\ 3 & 11 \end{array}$

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

Slope: $\frac{4}{3}$

y-intercept: $(0, 7)$

$\begin{array}{c} x & y \\ 0 & 7 \\ 3 & 11 \end{array}$