Graph 4x+y=7

$4 x + y = 7$

Step 1

Subtract $4 x$ from both sides of the equation.

$y = 7 - 4 x$

Step 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.

$y = m x + b$

Reorder $7$ and $- 4 x$ .

$y = - 4 x + 7$

Step 3

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

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

$m = - 4$

$b = 7$

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

Slope: $- 4$

y-intercept: $(0, 7)$

Slope: $- 4$

y-intercept: $(0, 7)$

Step 4

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 $7$ and $- 4 x$ .

$y = - 4 x + 7$

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

$\begin{array}{c} x & y \\ 0 & 7 \\ 1 & 3 \end{array}$

Step 5

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

Slope: $- 4$

y-intercept: $(0, 7)$

$\begin{array}{c} x & y \\ 0 & 7 \\ 1 & 3 \end{array}$

Step 6