Answer:
point C (-1, -3)
Step-by-step explanation:
The line you are looking for already has two givens: m = 2 and it has coordinate (2,3) on it. You can plug these in to find the equation of the line and then see which of the 4 points it must pass through.
3 = 2(2) + b
-1 = b
the line you are looking for is y = 2x - 1
First, you can rule out points D and B, because after a quick look, you can see that a line with a slope of 2 wouldn't come close to the point (2,3). Now you can choose between C (-1, -3) and A (-2, -3).
Now you can plug in the points C and A into the equation of the line that was obtained in the first part of this answer.
checking point A: -3 = 2(-2) - 1
-3= -5
not true, so now we check point C
checking point C: -3 = 2(-1) - 1
-3 = -2 - 1
-3 = -3
true, so the point must be C
