Question

How do I graph -4x+6y=12

Answer 1

You have 2 options.

I will show you the most efficient one, but later I will tell you the other.

-4x+6y=12

6y=4x+12

y=4/6x+12

y=2/3x+12

This tells us the point (0,12) as 12 is where it meets the y-axis (that is why you add it)

And then using the slope, 2/3 we can get (2,15) (which is up 3, right 2)

Just graph those, I would show you exactly, but I cannot add attachments sadly.

The other way (which I won’t show it all as the results would end out with the same line) is to fill in x, then y, with 0

So -4*0+6y=12 which means x=0 and you are solving for y  and -4x+6*0=12 which means y=0 and you are solving for x