# How do you create a table of values to graph 2x-6y=12?

Nov 10, 2016

#### Explanation:

It is a linear equation, so it may be appropriate and sufficient to the graphselect three points wide apart to draw the graph.

Let $x = 0$, then we have $0 - 6 y = 12$ or $y = \frac{12}{- 6} = - 2$ and hence our first point is $A \left(0 , - 2\right)$.

Next let $y = 0$, then we have $2 x - 0 = 12$ or $x = \frac{12}{2} = 6$ and hence our second point is $B \left(6 , 0\right)$.

Let us select another point with $x = - 6$, then we have $2 \times \left(- 6\right) - 6 y = 12$ or $- 12 - 6 y = 12$ or $6 y = - 24$ or $y = \frac{24}{- 6} = - 4$ and our tird point is $C \left(- 6 , - 4\right)$.

Table could be

Table$\textcolor{w h i t e}{X X X X X} x \textcolor{w h i t e}{X X X X X} y$

A$\textcolor{w h i t e}{X X X X X X X} 0 \textcolor{w h i t e}{X X X X} - 2$

B$\textcolor{w h i t e}{X X X X X X X} 6 \textcolor{w h i t e}{X X X X X} 0$

A$\textcolor{w h i t e}{X X X X X X} - 6 \textcolor{w h i t e}{X X X X} - 4$

Now just join points to get the graph, which appears as below.
graph{2x-6y=12 [-9.75, 10.25, -7.44, 2.56]}