Question

Write the equation in standard form. y + 6 = (x + 4)

A. x+y = -2
B. y = x - 2
C. x - y = 2
D. x - y = 10

Answer 1

The equation y + 6 = (x + 4) is rewritten in standard form by rearranging terms to get x - y = 2, which matches answer option C.

Step-by-step explanation:

Converting to Standard Form

To write the equation y + 6 = (x + 4) in standard form, we need to get x and y on the same side and set the equation equal to zero. Here are the steps to convert the given equation into standard form:

1. Start with the original equation: y + 6 = x + 4
2. Subtract 6 from both sides to get y = x - 2
3. To put it into standard form, the equivalent equation would be x - y - 2 = 0
4. Add 2 to both sides to set the equation to zero: x - y = 2

The correct answer would be C. x - y = 2, which matches the standard form Ax + By = C where A, B, and C are integers, and A should be positive.