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The question asks if the point \( (3, -2) \) satisfies the equation \( y = -2x + 4 \). Let's substitute \( x = 3 \) and \( y = -2 \) into the equation and check.

The equation is:
\[
y = -2x + 4
\]

Substituting \( x = 3 \) into the equation:
\[
y = -2(3) + 4 = -6 + 4 = -2
\]

Since the left side equals \( -2 \), and the given \( y \)-value is also \( -2 \), the point \( (3, -2) \) satisfies the equation.

The answer is **"yes"**.

Would you like more details or have any further questions?

Here are 5 related questions to deepen your understanding:
1. What is the slope of the equation \( y = -2x + 4 \)?
2. How do you interpret the y-intercept in the equation \( y = -2x + 4 \)?
3. Can you find another point that satisfies the equation \( y = -2x + 4 \)?
4. What would the graph of the equation \( y = -2x + 4 \) look like?
5. How does changing the slope in \( y = mx + b \) affect the line?

**Tip**: Always substitute the point's coordinates back into the equation to verify if it satisfies the equation.

Does the point (3, -2) satisfy the equation y = -2x + 4?

Learn how to determine if the point (3, -2) satisfies the linear equation y = -2x + 4. The problem uses basic algebraic concepts, such as substitution and solving linear equations, suitable for Grades 7-8.

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