Final answer:
To convert the equation y = 4x - 7 into standard form, we rearrange the terms to get all variables on one side and the constant on the other. The resulting standard form is 4x - y = 7.
Step-by-step explanation:
To write the equation y = 4x - 7 in standard form, we need to rearrange the terms to list the x and y variables on one side of the equation, and the constant on the other side. The standard form for a linear equation is Ax + By = C, where A, B, and C are integers, and A is non-negative.
We start by adding 7 to both sides to move the constant term to the right side of the equation:
4x - 7 + 7 = y + 7
This simplifies to:
4x = y + 7
Now, we subtract y from both sides to get the y-term on the left side:
4x - y = 7
Typically, we want the x-coefficient to be positive in the standard form, so we can leave the equation as it is since 4 is already positive. Hence, the standard form of the given equation is:
4x - y = 7