Answer: Choice A) x-4y = 4
Step-by-step explanation:
Choices C and D are in slope intercept form, and not standard form, so we can rule them out. It's been choice A and choice B.
Solve for y in choice A, and you should get y = (1/4)x-1. The slope is 1/4. The positive slope tells us the line moves uphill as you move from left to right. In contrast, x+4y = 4 has a negative slope because it solves to y = (-1/4)x+1. Therefore, choice B can be eliminated.
To confirm that choice A is the correct answer, plug in each point and see if we get a true equation. Let's start with (0,-1)
Plug in (x,y) = (0,-1)
x-4y = 4
0-4(-1) = 4 ... replace x with 0, replace y with -1
0+4 = 4
4 = 4 ... true equation, so the point (0,-1) works
Now try the other point
x-4y = 4
4-4(0) = 4 .... plug in (x,y) = (4,0)
4-0 = 4
4 = 4 ... works as well
Both points make the equation true, so they are both on the same line.