To rewrite the equation $y = 7x - 4$ in standard form, we need to express it in the form:

$Ax + By = C$

where $A$, $B$, and $C$ are integers, and $A$ is non-negative.

Starting with the given equation:

$y = 7x - 4$

Now, subtract $7x$ from both sides:

$-7x + y = -4$

To make the coefficient of $x$ positive, multiply the entire equation by $-1$:

$7x - y = 4$

Thus, the equation in standard form is:

$7x - y = 4$

Let me know if you'd like further clarification or details! Here are some follow-up questions:

1. How do you convert equations of different forms into standard form?
2. How can you identify the slope and intercept from standard form?
3. What happens if there is no constant term in the equation?
4. How can you graph an equation in standard form?
5. How do you solve for $y$ from an equation in standard form?

Tip: To convert to standard form, always try to get the $x$-term on the left-hand side and the constant on the right.