Final answer:
The equation y - 4 = -2(x + 7) in standard form is 2x + y = 10.
Step-by-step explanation:
To write the equation y - 4 = -2(x + 7) in standard form, we need to rearrange the terms so that the x and y variables are on the left side of the equation and the constant term is on the right side.
First, let's distribute the -2 to the terms inside the parentheses:
y - 4 = -2x - 14
Now, let's move the x term to the right side:
2x + y = 14 - 4
Simplifying further:
2x + y = 10
So, the equation written in standard form is 2x + y = 10.
Learn more about Standard form of linear equations