Answer:
Step-by-step explanation:
If we simplify the equation into the form [tex]y = mx + b[/tex] this problem is very easy
[tex]2(x+1)+3(y-2)=-7\\2x+2 + 3y- 6 = -7\\2x + 3y = -3\\3y = -2x -3\\y = \frac{-2}{3}(x) - 1[/tex]
So, the slope is [tex]\frac{-2}{3}[/tex] and the y-intercept is [tex]-1[/tex]