# How do you graph 2x + 3y = 9?

Mar 4, 2018

See explanation.

#### Explanation:

$2 x + 3 y = 9$
$3 y = 9 - 2 x$
$y = \frac{9 + 2 x}{3}$

From the type of equation we see that the function will be a straight line that does not pass from the $\left(0 , 0\right)$ point.

You then insert $2$ random values for $x$ (x_1 and x_2) and get 2 values for $y$ (y_1 and y_2)

So you have $2$ coordinates $\left({x}_{1} , {y}_{1}\right) , \left({x}_{2} , {y}_{2}\right)$. You mark them as points and draw a straight line that passes through both points.

graph{2x+3y=9 [-10, 10, -5, 5]}