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Let's solve the given equation:

The equation provided is:

\[
y + 4 = -3(x - 1)
\]

We need to rewrite it in the form:

\[
Ax + By = C
\]

### Steps:
1. First, distribute the \(-3\) on the right-hand side:

\[
y + 4 = -3x + 3
\]

2. Subtract \(4\) from both sides to isolate \(y\):

\[
y = -3x + 3 - 4
\]

\[
y = -3x - 1
\]

3. Now, move all terms to one side to get it in the form \(Ax + By = C\):

\[
3x + y = -1
\]

Thus, the equation in \(Ax + By = C\) form is:

\[
3x + y = -1
\]

Where \(A = 3\), \(B = 1\), and \(C = -1\).

---

Would you like more details or have any questions? Here are some related questions for practice:

1. How do you identify the slope and intercept from this equation?
2. What is the slope of the line in the equation \(3x + y = -1\)?
3. How would you graph the equation \(3x + y = -1\)?
4. Can you write the equation in slope-intercept form from \(Ax + By = C\)?
5. How do you convert a linear equation from point-slope form to standard form?

**Tip:** In standard form \(Ax + By = C\), it's customary to have \(A\) as a positive integer, and all coefficients should ideally be integers.

Rewrite the equation in Ax + By = C form. Use integers for A, B, and C. y + 4 = -3(x - 1)

Learn how to rewrite the linear equation y + 4 = -3(x - 1) in Ax + By = C form. Follow step-by-step instructions to convert the equation to standard form. Suitable for students in Grades 7-9.

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