Which of these points lies on the line described by the equation below?
y-8=3(x+6)
a. (8, -6)
b. (6, -8)
c. (-8, 6)
d. (-6, 8)

Just by looking at the equation, I can say immediately that the answer is A but where's the fun in that! So let's find out. In the equation, the best way to see which of the points lie on the graph is to plug in each of the answer and whichever causes the equation to be true is the correct coordinate.
(8) - 8 = 3(-6 + 6)
0 = 0 This is true.
(6) - 8 = 3 (-8+6)
-2 = -6 This is not true.
(-8)-8 = 3(6+6)
64 = 48 This is not true.
(-6) -8 = 3(8+6)
48 = 42 This is not true.
The only one that would make the equation true is A. Therefore A lies on the graph. I hope this helps :-)