Question

How do you graph the equation by plotting points `3x - 2y =4`?

Answer 1

Function: `y=-2+3/2x`
Intercepts: (`0, -2`) and (`4/3, 0`). The graph is a line that passes through these points.

Explanation:

First of all, you must make a function out of this equation. A function is defined as `y=f(x)`, so you can start by isolating `y`:

`-2y=4-3x`
`y=(4-3x)/-2 = -2+3/2x`

Next, since this is a linear function, you can find the intercepts of the function.
With `x=0`:
`y=-2+cancel(3/2*(0))=-2`

And with `y=0`:
`0=-2+3/2x`
`3x/2=2`
`3x=4`
`x=4/3`

We now have the points (`0, -2`) and (`4/3, 0`). We can just make a line that passes through them in the graph:

graph{3/2x-2 [-5, 5, -5, 5]}