Question

How do you graph the line `3x + 2y = 12`?

Answer 1

The gradient is `-3/2` and the y- intercept is 6

Explanation:

Rearrange the equation into the form y= mx + c
`3x+2y=12`
`2y=-3x +12`
`y=-3/2x +6`

The graph has a gradient of `-3/2` and crosses the y axis at 6

Or choose 2 points on the graph.
When x=0 , y = 6
When y=0, x= 4
Plot the points and you have your graph