Math Problem Statement

What is the y-intercept of the line shown in the graph?

Solution

The graph shows a linear function. To find the y-intercept, we look at where the line crosses the y-axis. In this case, the line crosses the y-axis at y=5y = 5. Therefore, the y-intercept of the line is 5.

Would you like a detailed explanation or have any further questions?

Here are 5 related questions:

  1. What is the equation of this line in slope-intercept form?
  2. How do you calculate the slope of the line from the graph?
  3. What does the y-intercept represent in a real-world context?
  4. How would the line change if the y-intercept were negative?
  5. How can we find the x-intercept from this graph?

Tip: The y-intercept of a linear equation in slope-intercept form, y=mx+by = mx + b, is always represented by bb.

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Math Problem Analysis

Mathematical Concepts

Linear Functions
Graphs of Linear Equations

Formulas

Slope-Intercept Form y = mx + b

Theorems

Y-Intercept of a Linear Function

Suitable Grade Level

Grades 7-10