https://file.aiquickdraw.com/mathbot/file/1730299761015qs7ceht0.jpg

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.

Which point is NOT on the line y = 2x - 3?

Learn how to determine which point does not lie on the line y = 2x - 3 by checking each coordinate pair. This algebra problem involves understanding linear equations and the slope-intercept form, suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation