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.