Graph y+x=4x+5

$y + x = 4 x + 5$

Step 1

Move all terms not containing $y$ to the right side of the equation.

Subtract $x$ from both sides of the equation.

$y = 4 x + 5 - x$

Subtract $x$ from $4 x$ .

$y = 3 x + 5$

Step 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 $y = m x + b$ .

$m = 3$

$b = 5$

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

Slope: $3$

y-intercept: $(0, 5)$

Slope: $3$

y-intercept: $(0, 5)$

Step 3

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.

$\begin{array}{c} x & y \\ 0 & 5 \\ 1 & 8 \end{array}$

Step 4

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

Slope: $3$

y-intercept: $(0, 5)$

$\begin{array}{c} x & y \\ 0 & 5 \\ 1 & 8 \end{array}$

Step 5