# How do you graph the line y + 3 = x + 6?

Aug 21, 2017

See a solution process below:

#### Explanation:

First, solve the equation for two points and plot the points on the graph:

For $y = 3$:

$3 + 3 = x + 6$

$6 = x + 6$

$6 - \textcolor{red}{6} = x + 6 - \textcolor{red}{6}$

$0 = x + 0$

$0 = x$

$x = 0$ or $\left(0 , 3\right)$

For $x = 3$:

$y + 3 = 3 + 6$

$y + 3 = 9$

$y + 3 - \textcolor{red}{3} = 9 - \textcolor{red}{3}$

$y + 0 = 6$

$y = 6$ or $\left(3 , 6\right)$

graph{(x^2+(y-3)^2-0.05)((x-3)^2+(y-6)^2-0.05)=0 [-15, 15, -7.5, 7.5]}

Now, draw a line through the two points to graph the equation:

graph{(y-x-3)(x^2+(y-3)^2-0.05)((x-3)^2+(y-6)^2-0.05)=0 [-15, 15, -7.5, 7.5]}