Question 834697
Your work


y-(-7)=-2/3(x-3)
y+7=-2/3x-3 <font color="red"><--- You made a mistake here</font>
y=-2/3x-3-7
y=-2/3x-10


On the second line, you forgot to distribute the -2/3 to EVERY term inside the parenthesis. You did -2/3 times x correctly, but forgot to multiply -2/3 by -3 to get (-2/3)*(-3) = 6/3 = 2


So line #3 should look like this:  y = -2/3x + 2 - 7


and then you combine like terms to get this final answer: y = -2/3x - 5


Despite this error, you did the rest of the steps correctly. So nice work with all that.