What is the equation of the graphed line written in standard
form?
X-4y=4
X+4y=4
Y=1/4x-1
Y=-1/4x-1

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.

c

step-by-step explanation:

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