Graph 2x+y=8 x=5

$2 x + y = 8$ $x = 5$

Graph $2 x + y = 8$ .

Subtract $2 x$ from both sides of the equation.

$y = 8 - 2 x$

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 $8$ and $- 2 x$ .

$y = - 2 x + 8$

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

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

$m = - 2$

$b = 8$

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

Slope: $- 2$

y-intercept: $(0, 8)$

Slope: $- 2$

y-intercept: $(0, 8)$

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 $8$ and $- 2 x$ .

$y = - 2 x + 8$

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

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

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

Slope: $- 2$

y-intercept: $(0, 8)$

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

Slope: $- 2$

y-intercept: $(0, 8)$

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

Graph $x = 5$ .

Since $x = 5$ 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.

$\begin{array}{c} x & y \\ 5 & 0 \\ 5 & 1 \end{array}$

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

Slope: Undefined

y-intercept: No y-intercept

$\begin{array}{c} x & y \\ 5 & 0 \\ 5 & 1 \end{array}$

Slope: Undefined

y-intercept: No y-intercept

$\begin{array}{c} x & y \\ 5 & 0 \\ 5 & 1 \end{array}$

Plot each graph on the same coordinate system.

$2 x + y = 8$

$x = 5$

Graph 2x+y=8 x=5

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