How do you graph y equals 2x plus 4 and 3y-6x equals 12 in the same cordinate plane?

Answer 1

Each of those two equations will be a straight line on the graph. We just have to decide

where to put them and how to slope them.

y = 2x + 4

This one is already in the form we want it. Just by looking at it, we can tell that it has

a slope of 2, and it cuts the y-axis where y=4.

3y - 6x = 12

We need to work on this one a little bit in order to get it in the same form.

That won't change anything, except the equation's 'shape'.

3y - 6x = 12

Add 6x to each side . . . . . 3y = 6x + 12

Divide each side by 3 . . . . y = 2x + 4

Guess what! Take a look back at the first equation.

Both equations are exactly the same, and their graphs are exactly the same line.

You don't really have two equations at all. You have the same equation twice.

The graph is a straight line, with a slope of 2 and a y-intercept of 4.