We are given these points that should belong to the line: (0, 2) and (1, -3).
The correct choice is that for which both points make the equation true.
For example, take the point x = 0, y = 2 and substitute in A):
y = -5x + 10
2 = -5(0) + 10
2 = 10
This is false, so A) is not the answer.
Now B):
y = -5x + 2
Substitute x = 0, y = 2
2 = -5(0) + 2
2 = 2
This is true. Now for the other point x = 1, y = -3:
-3 = -5(1) + 2
-3 = -5 + 2
-3 = -3
This is also true, thus the answer is B)
We can check the other choices and no one of them verifies the substitution of both points.
