Math Problem Statement

What is the x-intercept of the line shown below? Enter your answer as a coordinate pair.

Solution

To find the x-intercept of the line shown in the graph, we look for the point where the line crosses the x-axis. The x-intercept occurs when y=0y = 0.

From the graph, we can see that the red line crosses the x-axis at approximately (3,0)(3, 0). Therefore, the x-intercept is the point:

(3,0)(3, 0)

Let me know if you have any more questions about this or if you'd like further details.

Here are 5 related questions to deepen your understanding:

  1. How do you find the y-intercept of a line from a graph?
  2. What is the slope of the line in the graph?
  3. How do you calculate the equation of a line given two points?
  4. What does the slope-intercept form of a line represent?
  5. How does changing the slope affect the position of the x-intercept?

Tip: The x-intercept occurs when y=0y = 0, and similarly, the y-intercept occurs when x=0x = 0.

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Math Problem Analysis

Mathematical Concepts

Algebra
Coordinate Geometry
Linear Equations

Formulas

x-intercept occurs when y = 0

Theorems

Basic understanding of Cartesian coordinates and linear equations

Suitable Grade Level

Grades 6-8