Math Problem Statement
Find the x-intercept and the y-intercept of the line below. Click on "None" if applicable?
Solution
To solve for the x-intercept and y-intercept of the line:
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X-Intercept: The x-intercept is the point where the line crosses the x-axis, meaning . From the graph, the line crosses the x-axis at . So, the x-intercept is .
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Y-Intercept: The y-intercept is the point where the line crosses the y-axis, meaning . From the graph, the line crosses the y-axis at . So, the y-intercept is .
Thus, the intercepts are:
Let me know if you want further details or have questions.
Here are 5 related questions to explore:
- What is the slope of this line?
- How do you find intercepts from an equation of a line?
- Can a line have more than one x-intercept or y-intercept?
- How does the slope affect the intercepts of a line?
- What is the equation of the line given the intercepts?
Tip: Remember, the x-intercept occurs where , and the y-intercept occurs where .
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Math Problem Analysis
Mathematical Concepts
Algebra
Coordinate Geometry
Linear Equations
Formulas
To find x-intercept, set y = 0. To find y-intercept, set x = 0.
Theorems
Intercept Theorem
Suitable Grade Level
Grades 6-8