Math Problem Statement

Find the y-intercept from the given graph.

Solution

To find the y-intercept from the given graph, we need to identify where the line crosses the y-axis. The y-intercept is the point where the value of xx is zero.

From observing the graph:

  • The line crosses the y-axis at the point (0,2)(0, -2).

Thus, the y-intercept is -2.

Would you like more details or have any questions?

Here are some related questions to deepen your understanding:

  1. How do you determine the y-intercept from an equation of a line?
  2. What is the x-intercept, and how is it different from the y-intercept?
  3. How can you calculate the slope of a line from a graph?
  4. What does the slope of a line tell you about its direction?
  5. How would you write the equation of a line given its slope and y-intercept?

Tip: The y-intercept is always where the graph intersects the y-axis, so set x=0x = 0 when looking for it in an equation.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Graph Interpretation

Formulas

y = mx + b

Theorems

Intercept Theorem

Suitable Grade Level

Grades 7-8