So to convert this into slope intercept form, we simply have to keep variable 'y' alone on one side of the equation without any other coefficients before it. To do this, first subtract both sides by 3x to put it on the right. From this we ger:
-2y=-16-3x
You can now divide by -2 so that y has no coefficients and is also positive
This gives us:
y=8+(3/2)x, which is the same thing as:
[tex]y= \frac{3}{2} x+8[/tex]
Hope this helped!! :D
