To rewrite the given equation $y = -5x - 6$ in standard form, we recall that standard form of a linear equation is:

$Ax + By = C$

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

Step-by-step solution:

1. Start with the equation: $y = -5x - 6$

2. Rearrange terms to get $x$- and $y$-terms on the left-hand side: $5x + y = -6$

3. Verify that the equation matches the standard form $Ax + By = C$:

   • $A = 5$ (positive integer),
   • $B = 1$,
   • $C = -6$.

Final Answer:

$5x + y = -6$

Would you like a detailed explanation or examples of standard form equations?

Here are 5 related questions to expand your understanding:

1. What is the standard form of $y = 3x + 7$?
2. Convert $y = -2x + 4$ into standard form.
3. What are the differences between slope-intercept form and standard form?
4. How do you find the slope of a line given in standard form?
5. Solve for $x$ and $y$ intercepts of $2x - 3y = 6$.

Tip: Always ensure that $A$ in standard form is a positive integer. If it is negative, multiply the entire equation by $-1$.