Hello, there!
[tex]y - 2 = -4(x - 12)[/tex]
First, let's simplify the right side by using the distributive property.
-4 * x = -4x
-4 * -12 = 48
Now, we have:
[tex]y - 2 = -4x + 48[/tex]
Now, let's the equation to make the right side only contain y.
[tex]y - 2 = -4x + 48
[/tex]
+2 +2
Now, we have:
[tex]y = -4x + 50[/tex]
Finally, to make this equation standard form ([tex]Ax + By = C[/tex]), we must add 4x to each side
[tex]y = -4x + 50[/tex]
+4x +4x
Our final answer is:
[tex]4x + y = 50[/tex]
This means that the correct answer is A.
I hope I helped!
Let me know if you need anything else!
~ Zoe