Question

How do you find the ordered pairs for 3x - 2y = 6?

Answer 1

`(x,y)=(2,0),(0,-3)` and all the points that lie along the line

Explanation:

One way we can do this is to see that if we have `x=2, y=0`, then we have:

`3(2)-2(0)=6`, which means one ordered pair is `(2,0)`

We can also have it where `x=0, y=-3`:

`3(0)-2(-3)=6`, which means one ordered pair is `(0,-3)`

In fact, there are an infinite number of ordered pairs that lie along the line `3x-2y=6` and the way to express them all is graphically:

graph{3x-2y-6=0}