https://file.aiquickdraw.com/mathbot/file/1726154892716bauce37t.jpg

The equation in the image appears to be:

\[
q_1 = 4 \times r = -2
\]

To find the value of \( r \), we solve for \( r \) from the equation:

\[
4 \times r = -2
\]

Dividing both sides of the equation by 4:

\[
r = \frac{-2}{4} = -\frac{1}{2}
\]

Thus, the value of \( r \) is \( -\frac{1}{2} \), and the equation becomes:

\[
q_1 = 4 \times \left( -\frac{1}{2} \right) = -2
\]

So, the formula is correct with \( q_1 = -2 \) and \( r = -\frac{1}{2} \).

Would you like any further clarification or a detailed breakdown?

Here are 5 related questions:
1. How would the equation change if \( 4 \) was replaced with another constant?
2. What would happen to the value of \( r \) if \( q_1 \) was positive instead?
3. How would you solve this equation if it were a system with two variables?
4. What is the geometric interpretation of multiplying a variable by a constant in an equation?
5. Can this equation be written in terms of \( r \) first?

**Tip:** Always isolate the variable you're solving for by performing inverse operations step by step.

Learn how to solve the linear equation q1 = 4 * r = -2. This step-by-step guide covers key algebraic concepts, isolating variables, and performing basic operations. Suitable for students in Grades 7-9.

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