Math Problem Statement

Identify the y-intercept?

Solution

The y-intercept of a line is the point where the line crosses the y-axis (vertical axis). From the given graph, the line crosses the y-axis at the point (0,2)(0, -2).

Therefore, the y-intercept is:

D. -2

Would you like a detailed explanation or have any questions? Here are 5 related questions to further explore:

  1. How do you find the x-intercept of a line from a graph?
  2. What is the slope of the line shown in the graph?
  3. How would the graph change if the y-intercept was positive?
  4. Can you explain how to determine the equation of this line?
  5. What does the y-intercept represent in the context of a real-world problem?

Tip: The y-intercept can be easily identified by setting x=0x = 0 in the equation of the line and solving for yy.

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Math Problem Analysis

Mathematical Concepts

Graphing
Linear Equations
Y-intercept

Formulas

y = mx + b (Slope-Intercept Form)
Y-intercept is the value where x = 0

Theorems

Slope-Intercept Theorem

Suitable Grade Level

Grades 6-8