Answer:
y + 2x = -4
Explanation:
y - 4 = -2(x-(-4))
Standard form is Ay + Bx = C
Where A and B are coefficients of x and y and C is a constant.
To convert the given equation in standard form we must get x and y on one side and the constant on the other.
y - 4 = -2(x-(-4))
==> apply double negative rule
y - 4 = -2(x+4)
==> distribute -2
y - 4 = -2x - 8
==> we want to get x on the side with y, to do so we add 2x to both sides
y + 2x - 4 = -8
==> finally we want to get the constant by itself or get rid of -4 on the left side and onto the right , so to do so we add 4 to both sides
y + 2x = -4
And we are done!
The equation in standard form , Ax + By = C is y + 2x = -4
We know this is correct because both x and y are on one side and the constant -4 , is on the other
We can also double check our answer by graphing.
If you check the attached image we notice that the two lines , created by the given equation and the equation in standard form overlap meaning our answer is correct.