Question 58053
simplify the graph so thay you isolate y

2x-3y=6
subtract 2x

-3y=-2x+6
divide by 3
y=(-2/3)x+2

the y intercept is when x is 0 so

y=(-2/3)(0)+2

y=2

the slope is simply the fraction in front of x.

the y intercept is 2
the slope is -(2/3)