Graph x+y=2 y=-1/3x-2

$x + y = 2$ $y = - \frac{1}{3} x - 2$

Step 1

Graph $x + y = 2$ .

Subtract $x$ from both sides of the equation.

$y = 2 - x$

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 $2$ and $- x$ .

$y = - x + 2$

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

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

$m = - 1$

$b = 2$

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.

Reorder $2$ and $- x$ .

$y = - x + 2$

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

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

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

Slope: $- 1$

y-intercept: $(0, 2)$

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

Slope: $- 1$

y-intercept: $(0, 2)$

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

Step 2

Graph $y = - \frac{1}{3} x - 2$ .

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.

$y = - (\frac{1}{3} x) - 2$

Remove parentheses.

$y = - \frac{1}{3} x - 2$

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

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

$m = - \frac{1}{3}$

$b = - 2$

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

Slope: $- \frac{1}{3}$

y-intercept: $(0, - 2)$

Slope: $- \frac{1}{3}$

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.

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

Reorder terms.

$y = - (\frac{1}{3} x) - 2$

Remove parentheses.

$y = - \frac{1}{3} x - 2$

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

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

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

Slope: $- \frac{1}{3}$

y-intercept: $(0, - 2)$

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

Slope: $- \frac{1}{3}$

y-intercept: $(0, - 2)$

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

Step 3

Plot each graph on the same coordinate system.

$x + y = 2$

$y = - \frac{1}{3} x - 2$

Step 4

Graph x+y=2 y=-1/3x-2

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