https://file.aiquickdraw.com/mathbot/file/1727055359202qc0ogk27.jpg

The equation given in the image is:

\[
y + 5 = -3(x - 3)
\]

We are asked to rewrite this equation in the form:

\[
Ax + By = C
\]

### Steps to solve:

1. Distribute the \(-3\) on the right-hand side:
   \[
   y + 5 = -3x + 9
   \]

2. Subtract 5 from both sides to isolate \(y\) on the left:
   \[
   y = -3x + 9 - 5
   \]

   Simplifying the constants:
   \[
   y = -3x + 4
   \]

3. Now, rearrange this into the \(Ax + By = C\) form. Add \(3x\) to both sides to move the \(x\)-term to the left:
   \[
   3x + y = 4
   \]

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

\[
3x + y = 4
\]

Here, \(A = 3\), \(B = 1\), and \(C = 4\).

---

Would you like further details or clarification? Here are some additional related questions to consider:

1. How can you check if a point lies on the line represented by this equation?
2. Can this equation be rewritten in slope-intercept form \(y = mx + b\)? How?
3. What does the slope of this line tell us about its direction?
4. How would you graph this equation step by step?
5. Can you find the x- and y-intercepts of this equation?

**Tip:** Always try to simplify expressions by combining like terms and distributing when necessary to make the equation more manageable.

Rewrite the equation y + 5 = -3(x - 3) in Ax + By = C form using integers for A, B, and C.

Learn how to rewrite the linear equation y + 5 = -3(x - 3) in Ax + By = C form with step-by-step instructions. This algebra problem demonstrates key concepts like the distributive property and equation rearrangement. Suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation