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.

  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+by = mx + b, where mm is the slope and bb is the y-intercept.

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Math Problem Analysis

Mathematical Concepts

Graphing
Slope
Intercepts

Formulas

Slope-intercept form: y = mx + b

Theorems

Intercept theorem

Suitable Grade Level

Grades 8-10