https://file.aiquickdraw.com/mathbot/file/17285727629587fi3qe20.jpg

The question asks which line has a y-intercept of 2 and an x-intercept of -3.

1. **Y-intercept of 2** means the line crosses the y-axis at the point (0, 2).
2. **X-intercept of -3** means the line crosses the x-axis at the point (-3, 0).

Now, examining the graphs:

- **Graph W**: The line crosses the y-axis above 2 and the x-axis near -2. This is incorrect.
- **Graph X**: The line crosses the y-axis below 2 and the x-axis around -4. Incorrect.
- **Graph Y**: The line crosses the y-axis at 2 and the x-axis at -3. This is correct.
- **Graph Z**: The line crosses the y-axis below 2 and the x-axis around -1. Incorrect.

Therefore, the correct answer is **C. Y**.

Would you like further explanation, or do you have any questions?

Here are 5 related questions:
1. How do you find the equation of a line given two points?
2. What is the slope of a line passing through the x- and y-intercepts?
3. How does the slope affect the direction of a line on a graph?
4. How can you determine the intercepts from the equation of a line?
5. What happens to the intercepts if you shift a line vertically?

**Tip**: The slope-intercept form of a line is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.

Which line has a y-intercept of 2 and an x-intercept of -3?

Learn how to determine which graph represents a line with a y-intercept of 2 and an x-intercept of -3. This exercise explores concepts of graphing linear equations, focusing on identifying intercepts. Suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation