Graph y=-4/3x-5 x=-3

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

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

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.

$y = m x + b$

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

Reorder terms.

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

Remove parentheses.

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

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

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

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

$b = - 5$

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: $(0, - 5)$

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

y-intercept: $(0, - 5)$

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 terms.

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

Remove parentheses.

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

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

$\begin{array}{c} x & y \\ 0 & - 5 \\ 3 & - 9 \end{array}$

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

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

y-intercept: $(0, - 5)$

$\begin{array}{c} x & y \\ 0 & - 5 \\ 3 & - 9 \end{array}$

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

y-intercept: $(0, - 5)$

$\begin{array}{c} x & y \\ 0 & - 5 \\ 3 & - 9 \end{array}$

Graph $x = - 3$ .

Since $x = - 3$ is a vertical line, there is no y-intercept and the slope is undefined.

Slope: Undefined

y-intercept: No y-intercept

Find two points on the line.

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

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

Slope: Undefined

y-intercept: No y-intercept

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

Slope: Undefined

y-intercept: No y-intercept

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

Plot each graph on the same coordinate system.

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

$x = - 3$

Graph y=-4/3x-5 x=-3

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