The given equation is $y = 10x + 7$.

Steps to rewrite in standard form:

The standard form of a linear equation is: $Ax + By = C$ where $A$, $B$, and $C$ are integers, and $A$ and $B$ are not both zero.

1. Start with the given equation: $y = 10x + 7$

2. Rearrange terms to move $10x$ to the left-hand side: $-10x + y = 7$

3. Multiply through by $-1$ (optional) to make $A$ positive: $10x - y = -7$

Final Answer:

The standard form of the equation is: $10x - y = -7$

Check:

• $A = 10$, $B = -1$, and $C = -7$ are integers.
• The greatest common factor (GCF) of $A$, $B$, and $C$ is $1$.

Let me know if you'd like more explanation or further help!

Related Questions:

1. What is the slope and y-intercept of the equation $y = 10x + 7$?
2. How do you graph the equation $10x - y = -7$?
3. How can you verify that $10x - y = -7$ is equivalent to $y = 10x + 7$?
4. What are the steps to convert $y = mx + b$ into $Ax + By = C$?
5. Can standard form equations always be graphed as a straight line?

Tip:

When converting to standard form, always ensure that $A$ is positive and the coefficients are integers.