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 .
From the graph, we can see that the red line crosses the x-axis at approximately . Therefore, the x-intercept is the point:
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:
- How do you find the y-intercept of a line from a graph?
- What is the slope of the line in the graph?
- How do you calculate the equation of a line given two points?
- What does the slope-intercept form of a line represent?
- How does changing the slope affect the position of the x-intercept?
Tip: The x-intercept occurs when , and similarly, the y-intercept occurs when .
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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