Math Problem Statement
Solution
The problem asks us to determine the intersection points of the line with the x-axis and y-axis.
1. Intersection with the y-axis:
The y-intercept occurs when . From the graph, it is clear that when , the line intersects the y-axis at .
So, the intersection with the y-axis is:
2. Intersection with the x-axis:
The x-intercept occurs when . By observing the graph, the line crosses the x-axis at approximately .
So, the intersection with the x-axis is:
Thus, the intersection points are:
- With the x-axis:
- With the y-axis:
Would you like further details or clarification on this?
Here are some related questions you might explore:
- How do you find the equation of a line given two points?
- What is the slope of the line in this graph?
- How can the slope be calculated using the intersection points?
- How do you determine if a line is increasing or decreasing based on its slope?
- How can the distance between two points be calculated on a graph?
Tip: Always remember that the x-intercept occurs when and the y-intercept when .
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Math Problem Analysis
Mathematical Concepts
Linear Algebra
Coordinate Geometry
Formulas
The x-intercept occurs when y = 0
The y-intercept occurs when x = 0
Theorems
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Suitable Grade Level
Grades 7-9