Graph f(x)=2x+6 y=-2/3x-6 h(x)=-2x+6 f(x)=1 y=2/3x-6

$f (x) = 2 x + 6$ $y = - \frac{2}{3} x - 6$ $h (x) = - 2 x + 6$ $f (x) = 1$ $y = \frac{2}{3} x - 6$

Graph $f (x) = 2 x + 6$ .

Rewrite the function as an equation.

$y = 2 x + 6$

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

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

$y = m x + b$

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

$m = 2$

$b = 6$

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

Slope: $2$

y-intercept: $(0, 6)$

Slope: $2$

y-intercept: $(0, 6)$

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

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

$\begin{array}{c} x & y \\ 0 & 6 \\ 1 & 8 \end{array}$

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

Slope: $2$

y-intercept: $(0, 6)$

$\begin{array}{c} x & y \\ 0 & 6 \\ 1 & 8 \end{array}$

Slope: $2$

y-intercept: $(0, 6)$

$\begin{array}{c} x & y \\ 0 & 6 \\ 1 & 8 \end{array}$

Graph $y = - \frac{2}{3} x - 6$ .

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.

$y = - (\frac{2}{3} x) - 6$

Remove parentheses.

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

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

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

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

$b = - 6$

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

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

y-intercept: $(0, - 6)$

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

y-intercept: $(0, - 6)$

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.

$y = - (\frac{2}{3} x) - 6$

Remove parentheses.

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

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

$\begin{array}{c} x & y \\ 0 & - 6 \\ 3 & - 8 \end{array}$

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

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

y-intercept: $(0, - 6)$

$\begin{array}{c} x & y \\ 0 & - 6 \\ 3 & - 8 \end{array}$

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

y-intercept: $(0, - 6)$

$\begin{array}{c} x & y \\ 0 & - 6 \\ 3 & - 8 \end{array}$

Graph $h (x) = - 2 x + 6$ .

Rewrite the function as an equation.

$y = - 2 x + 6$

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

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

$y = m x + b$

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

$m = - 2$

$b = 6$

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

Slope: $- 2$

y-intercept: $(0, 6)$

Slope: $- 2$

y-intercept: $(0, 6)$

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

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

$\begin{array}{c} x & y \\ 0 & 6 \\ 1 & 4 \end{array}$

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

Slope: $- 2$

y-intercept: $(0, 6)$

$\begin{array}{c} x & y \\ 0 & 6 \\ 1 & 4 \end{array}$

Slope: $- 2$

y-intercept: $(0, 6)$

$\begin{array}{c} x & y \\ 0 & 6 \\ 1 & 4 \end{array}$

Graph $f (x) = 1$ .

Rewrite the function as an equation.

$y = 1$

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

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

$y = m x + b$

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

$m = 0$

$b = 1$

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

Slope: $0$

y-intercept: $(0, 1)$

Slope: $0$

y-intercept: $(0, 1)$

Find two points on the line.

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

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

Slope: $0$

y-intercept: $(0, 1)$

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

Slope: $0$

y-intercept: $(0, 1)$

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

Graph $y = \frac{2}{3} x - 6$ .

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.

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

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

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

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

$b = - 6$

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

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

y-intercept: $(0, - 6)$

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

y-intercept: $(0, - 6)$

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.

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

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

$\begin{array}{c} x & y \\ 0 & - 6 \\ 3 & - 4 \end{array}$

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

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

y-intercept: $(0, - 6)$

$\begin{array}{c} x & y \\ 0 & - 6 \\ 3 & - 4 \end{array}$

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

y-intercept: $(0, - 6)$

$\begin{array}{c} x & y \\ 0 & - 6 \\ 3 & - 4 \end{array}$

Plot each graph on the same coordinate system.

$f (x) = 2 x + 6$

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

$h (x) = - 2 x + 6$

$f (x) = 1$

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

Graph f(x)=2x+6 y=-2/3x-6 h(x)=-2x+6 f(x)=1 y=2/3x-6

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