Final answer:
The equation y = x + 4 written in standard form is y - x = 4, which matches option (a) y - x = 4.
Step-by-step explanation:
The equation given is in the form y = mx + b, which is the standard form of a linear equation. In this form, m represents the slope of the line and b represents the y-intercept.
To write the equation y = x + 4 in standard form, we want to rearrange the equation so that it is in the form Ax + By = C, where A, B, and C are integers, and A should be non-negative.
Starting with the given equation:
y = x + 4Subtract x from both sides to get: y - x = 4
Therefore, the equation in standard form is y - x = 4.
From the options provided, the correct answer is (a) y - x = 4.