# How do you graph the line y=2x+5?

Jul 27, 2016

Using some arbitrary values for $x$ compute corresponding $y$ values; plot the resulting coordinate pairs; and draw a line through those points.

#### Explanation:

You will need at least 2 sets of coordinates since this is a linear equation. (3 or more would allow you to check your results).

As an example I used
$\textcolor{w h i t e}{\text{XXX}} x \in \left\{- 2 , 0 , + 2\right\}$
to get the sample coordinate pairs:
$\textcolor{w h i t e}{\text{XXX}} \left(- 2 , 1\right)$
$\textcolor{w h i t e}{\text{XXX}} \left(0 , 5\right)$ and
$\textcolor{w h i t e}{\text{XXX}} \left(+ 2 , 9\right)$

Here is the result: