# How do you graph 3x+y=15?

Feb 9, 2017

Find two pair of sample solution points (the intercepts are often convenient);
Plot the two points;
Draw a straight line through the points.
$\textcolor{w h i t e}{\text{XXX}}$(see below)

#### Explanation:

Given $3 x + y = 15$

If $x = 0$
then $y = 15$

If $y = 0$
then $x = 5$

So we have two sample points $\left(0 , 15\right)$ and $\left(5 , 0\right)$

Since $3 x + y = 15$ is a linear equation, we only need two points to establish the graph.

Plotting these points and drawing a line through them gives us a graph that should look like: