Graph y=x+2 3x+y=-6

$y = x + 2$ $3 x + y = - 6$

Step 1

Graph $y = x + 2$ .

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 $y = m x + b$ .

$m = 1$

$b = 2$

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

Slope: $1$

y-intercept: $(0, 2)$

Slope: $1$

y-intercept: $(0, 2)$

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.

$\begin{array}{c} x & y \\ 0 & 2 \\ 1 & 3 \end{array}$

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

Slope: $1$

y-intercept: $(0, 2)$

$\begin{array}{c} x & y \\ 0 & 2 \\ 1 & 3 \end{array}$

Slope: $1$

y-intercept: $(0, 2)$

$\begin{array}{c} x & y \\ 0 & 2 \\ 1 & 3 \end{array}$

Step 2

Graph $3 x + y = - 6$ .

Subtract $3 x$ from both sides of the equation.

$y = - 6 - 3 x$

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 $- 6$ and $- 3 x$ .

$y = - 3 x - 6$

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

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

$m = - 3$

$b = - 6$

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

Slope: $- 3$

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

Slope: $- 3$

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 $- 6$ and $- 3 x$ .

$y = - 3 x - 6$

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

$\begin{array}{c} x & y \\ 0 & - 6 \\ 1 & - 9 \end{array}$

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

Slope: $- 3$

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

$\begin{array}{c} x & y \\ 0 & - 6 \\ 1 & - 9 \end{array}$

Slope: $- 3$

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

$\begin{array}{c} x & y \\ 0 & - 6 \\ 1 & - 9 \end{array}$

Step 3

Plot each graph on the same coordinate system.

$y = x + 2$

$3 x + y = - 6$

Step 4

Graph y=x+2 3x+y=-6

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