What is the slope of 2x-3y+7=0

So we move the constant and the x (or the slope) to the right side making

-3y=-2x-7

then we divide by - 3

y = (2/3) x+7/3

our slope is 2/3 because in the equation we show this:

y=m (x) + b

where m is slope and b is intercept

2x-3y+7=0 - - add 3y to both sides

3y=2x+7 - - divide by 3

y=2x/3 + 7/3

The gradient is 2/3