# How do you graph x-4y=18?

Dec 24, 2017

Graph as shown below:

#### Explanation:

One way of doing this is by finding two points on the graph, then connecting them up, so here we will find two points:

Finding the $y$ - intercept: $\implies x = 0$

$\implies \left(0\right) - 4 y = 18$

$\implies \frac{\cancel{- 4} y}{\cancel{- 4}} = \frac{3 \cdot 3 \cdot \cancel{2}}{- 2 \cdot \cancel{2}}$

$y = - \frac{9}{2} \implies \left(0 , - \frac{9}{2}\right)$ Our first point

Finding the $x$ - intercept $\implies y = 0$

$\implies x + \left(- 4 \cdot 0\right) = 18$

$x = 18 \implies \left(18 , 0\right)$ Our second point

Now plotting these points on a graph:

Now joining these points up to yield a line graph:

Then there is our line, this will only really work for lines, when you advance further you will study things called quadratics, these are more difficult to graph!