Math Problem Statement

Solve

What is the y-intercept of the line graphed?

Solution

To solve this question, we need to find the y-intercept of the line on the graph. The y-intercept is the point where the line crosses the y-axis (where x=0x = 0).

Looking at the graph:

  • The line intersects the y-axis at y=1y = -1.
  • Therefore, the y-intercept is (0,1)(0, -1).

Thus, the correct answer is D: (0, -1).

Would you like more details or have any other questions?


Here are 5 related questions to deepen your understanding:

  1. What is the slope of the line on the graph?
  2. How can you determine the x-intercept of a line from a graph?
  3. How do you find the equation of a line given the slope and y-intercept?
  4. What does a positive or negative slope tell you about the direction of a line?
  5. How can you calculate the slope of a line if you are given two points on the line?

Tip: The slope of a line is calculated as the change in yy divided by the change in xx, often referred to as "rise over run."

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Math Problem Analysis

Mathematical Concepts

Algebra
Coordinate Geometry
Linear Equations

Formulas

The y-intercept of a line is the value of y when x = 0

Theorems

Intercept Theorem
Linear Equation Theorem

Suitable Grade Level

Grades 6-8