Let's check if \((2, -33)\) is a solution to the equation \(y = -7x - 3\).

Substitute \(x = 2\) into the equation:

\[
y = -7(2) - 3
\]

Simplify the expression:

\[
y = -14 - 3 = -17
\]

The equation gives \(y = -17\) when \(x = 2\). However, the point \((2, -33)\) has \(y = -33\). Since \(-17 \neq -33\), \((2, -33)\) is **not** a solution to the equation \(y = -7x - 3\).

Would you like more details or have any other questions?

Here are 5 related questions:
1. What are the common mistakes when substituting values into an equation?
2. How can you verify if a solution is correct for any linear equation?
3. How do you find the y-value given an x-value in a linear equation?
4. What does it mean graphically if a point is not a solution to an equation?
5. How do different values of \(x\) affect the y-value in a linear equation?

**Tip:** After substituting the value of \(x\), always simplify the equation step by step to avoid errors.

Explore whether the point (2, -33) satisfies the linear equation y = -7x - 3 through step-by-step substitution and simplification. Learn about linear equations and the substitution method with this example suitable for Grades 7-9.

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