# How do you graph 2y - 6x = 16?

Apr 29, 2018

Simplify the equation so its in terms of y;

graph{y=3x+8 [-10, 10, -10, 10]}

#### Explanation:

So the equation is

$2 y - 6 x = 16$

To get the equation in terms of $y$, isolate the $y$ variable by adding $6 x$ to both sides. Then you will have

$2 y = 6 x + 16$

To get $y$ alone (without the $2$ coefficient), divide by $2$ on both sides, to get the equation

$y = 3 x + 8$

Now for graphing. The equation is now in the form of

$y = m x + b$

meaning it is a linear graph (having the shape of a line), so you only need two points to create the complete graph. Plug in some easy points, like $x = 0$, where the $y$ value would become $8$. So one point is $\left(0 , 8\right)$.

Plug in another point, like $x = 1$, so

$y = 3 + 8 = 11$

making the second point $\left(1 , 11\right)$. Plot those on a graph and connect them with a straight line, giving you the correct graph of $2 y - 6 x = 16$.