# How can you graph the linear equation x=y+3?

##### 1 Answer
Jun 12, 2017

See the explanation.

#### Explanation:

Graph:

$x = y + 3$

Solve for $y$ to get the slope intercept form: $y = m x + b$, where $m$ is the slope and $b$ is the y-intercept.

Subtract $y$ from both sides.

$- y + x = 3$

Subtract $x$ to both sides.

$- y = - x + 3$

Multiply both sides by $- 1$.

$y = x - 3$

Now determine several points on the line by choosing values for $x$ and solving for $y$.

$\text{Points}$

$x = - 2 ,$$y = - 5$

$x = 0 ,$$y = - 3$

$x = 2 ,$$y = - 1$

Plot the points and draw a straight line through the them. graph{y=x-3 [-16.02, 16, -8.01, 8.01]}