2y=3x=6 Graph Equation, Can You Answer It?

You could do this a couple different ways.  

1:  put any number into y, and solve for x.  plot that point on a graph.  do the same for a different value of y, and solve for x.  plot it.  do a couple more just to make sure they're all on the same line.  If one isn't, that's probably a math error.

2:  convert the equation to y=mx+b form.  in that case, the y intercept is found by setting x = 0.  Similarly, you could find another point, and plot it with a different value of y, but since you already have the y intercept you can make a line using the slope (if that's easier).  once you put it into y= mx+b form, use m as your slope.  but check a new point from your equation against the graph to verify you got the slope right.

With linear equations, two points determine a line, but using more points will help you verify they're correct.

As Nic7320 says, two points determine a line. For an equation such as this, two points are fairly easy to determine.

X-intercept
Choose y=0
2(0)+3x=6
3x=6
x=6/3=2   one (x, y) point is (2, 0)

Y-intercept
Choose x=0
2y+3(0)=6
2y=6
y=6/2=3   another (x, y) point is (0, 3)

Locate the first point on the x-axis and the second point on the y-axis. Draw a line through them and beyond on either side and you have graphed the equation.

2y=3x

Y=2/3x+6

2y=3x=6

3 ,more questions the graph can help you answer.

The graph of 3x - 2y = 6 does not pass through