Graph y=-3/2x-7 y=5/6x+7

$y = - \frac{3}{2} x - 7$ $y = \frac{5}{6} x + 7$

Graph $y = - \frac{3}{2} x - 7$ .

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.

$y = - (\frac{3}{2} x) - 7$

Remove parentheses.

$y = - \frac{3}{2} x - 7$

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

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

$m = - \frac{3}{2}$

$b = - 7$

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

Slope: $- \frac{3}{2}$

y-intercept: $(0, - 7)$

Slope: $- \frac{3}{2}$

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 terms.

$y = - (\frac{3}{2} x) - 7$

Remove parentheses.

$y = - \frac{3}{2} x - 7$

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

$\begin{array}{c} x & y \\ 0 & - 7 \\ 2 & - 10 \end{array}$

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

Slope: $- \frac{3}{2}$

y-intercept: $(0, - 7)$

$\begin{array}{c} x & y \\ 0 & - 7 \\ 2 & - 10 \end{array}$

Slope: $- \frac{3}{2}$

y-intercept: $(0, - 7)$

$\begin{array}{c} x & y \\ 0 & - 7 \\ 2 & - 10 \end{array}$

Graph $y = \frac{5}{6} x + 7$ .

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 terms.

$y = \frac{5}{6} x + 7$

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

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

$m = \frac{5}{6}$

$b = 7$

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

Slope: $\frac{5}{6}$

y-intercept: $(0, 7)$

Slope: $\frac{5}{6}$

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.

Reorder terms.

$y = \frac{5}{6} x + 7$

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

$\begin{array}{c} x & y \\ 0 & 7 \\ 6 & 12 \end{array}$

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

Slope: $\frac{5}{6}$

y-intercept: $(0, 7)$

$\begin{array}{c} x & y \\ 0 & 7 \\ 6 & 12 \end{array}$

Slope: $\frac{5}{6}$

y-intercept: $(0, 7)$

$\begin{array}{c} x & y \\ 0 & 7 \\ 6 & 12 \end{array}$

Plot each graph on the same coordinate system.

$y = - \frac{3}{2} x - 7$

$y = \frac{5}{6} x + 7$

Graph y=-3/2x-7 y=5/6x+7

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