# How do you graph the equation y=x+5?

Mar 25, 2017

see explanation.

#### Explanation:

The equation of a line in $\textcolor{b l u e}{\text{slope-intercept form}}$ is.

$\textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{y = m x + b} \textcolor{w h i t e}{\frac{2}{2}} |}}}$
where m represents the slope and b. the y-intercept.

$y = x + 5 \text{ is in this form}$

$\Rightarrow \left(0 , 5\right) \textcolor{red}{\text{ is a point on the graph}}$

To draw a line we require 2 points.

Choose any value of x to obtain a second point.

$x = 3 \to y = 3 + 5 = 8$

$\Rightarrow \left(3 , 8\right) \textcolor{red}{\text{ is a point on the graph}}$

Plot these 2 points and draw a straight line through them and you have the graph.
graph{x+5 [-11.24, 11.27, -5.63, 5.61]}