To determine which point is not on the line $y = 2x - 3$, we need to check each point by plugging its $x$-value into the equation and seeing if the corresponding $y$-value matches.

Given points:

1. $(2, 2)$
2. $(1, -1)$
3. $(0, -3)$
4. $(3, 3)$

Let's test each one:

1. For $(2, 2)$: $y = 2x - 3 = 2(2) - 3 = 4 - 3 = 1 \neq 2$ So, $(2, 2)$ is not on the line.

Since the first option does not satisfy the equation, we have already found the point that is not on the line.

Answer:

The point that is not on the line $y = 2x - 3$ is $(2, 2)$.

Would you like a detailed explanation of how I would test the other points or have any questions?

Related Questions:

1. How do you determine if a point lies on a line given its equation?
2. What is the slope-intercept form of a linear equation?
3. Can you explain how to find the y-intercept from a linear equation?
4. How would this problem change if the line had a different slope?
5. How can you graphically verify if a point lies on a line?

Tip:

For any line equation $y = mx + b$, plug in the $x$-value of a point into the equation to see if the resulting $y$-value matches the point’s $y$-coordinate.