Graph y=-x+1 x=3

$y = - x + 1$ $x = 3$

Step 1

Graph $y = - x + 1$ .

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 $y = m x + b$ .

$m = - 1$

$b = 1$

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

Slope: $- 1$

y-intercept: $(0, 1)$

Slope: $- 1$

y-intercept: $(0, 1)$

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.

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

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

Slope: $- 1$

y-intercept: $(0, 1)$

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

Slope: $- 1$

y-intercept: $(0, 1)$

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

Step 2

Graph $x = 3$ .

Since $x = 3$ 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.

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

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

Slope: Undefined

y-intercept: No y-intercept

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

Slope: Undefined

y-intercept: No y-intercept

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

Step 3

Plot each graph on the same coordinate system.

$y = - x + 1$

$x = 3$

Step 4