Question

Graph linear equation: 3y - 2x = 9

Answer 1

We need two points to graph a line.

Substituting with x = 0 into the equation and solving for y, we get:

`\begin{gathered} 3y-2\cdot0=9 \\ 3y=9 \\ y=(9)/(3) \\ y=3 \end{gathered}`

Then, the point (0, 3) lies on the line.

Substituting with x = 3 into the equation and solving for y, we get:

`\begin{gathered} 3y-2\cdot3=9 \\ 3y-6=9 \\ 3y=9+6 \\ 3y=15 \\ y=(15)/(3) \\ y=5 \end{gathered}`

Then, the point (3, 5) lies on the line.

To graph the line we need to locate these two points on the plane, and connect them with a line, as follows: