Math Problem Statement
Which line has a y-intercept of 2 and an x-intercept of -3?
Solution
The question asks which line has a y-intercept of 2 and an x-intercept of -3.
- Y-intercept of 2 means the line crosses the y-axis at the point (0, 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:
- How do you find the equation of a line given two points?
- What is the slope of a line passing through the x- and y-intercepts?
- How does the slope affect the direction of a line on a graph?
- How can you determine the intercepts from the equation of a line?
- What happens to the intercepts if you shift a line vertically?
Tip: The slope-intercept form of a line is , where is the slope and is the y-intercept.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Graphing
Slope
Intercepts
Formulas
Slope-intercept form: y = mx + b
Theorems
Intercept theorem
Suitable Grade Level
Grades 8-10