Math Problem Statement
Solution
To solve the problem in the image and find the x-intercept and y-intercept of the line, let's analyze the graph:
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x-intercept: The point where the line crosses the x-axis. At this point, the value of y is 0. From the graph, we can see that the line crosses the x-axis at (10, 0). So, the x-intercept is (10, 0).
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y-intercept: The point where the line crosses the y-axis. At this point, the value of x is 0. From the graph, we can see that the line crosses the y-axis at (0, 10). So, the y-intercept is (0, 10).
Would you like further details or explanations?
Here are 5 related questions that might help you expand your understanding:
- How do you calculate intercepts algebraically if you have the equation of a line?
- How can you derive the equation of the line from two points?
- What is the slope of the line based on the intercepts?
- What are the standard forms of linear equations, and how do they relate to intercepts?
- How do transformations affect the intercepts of a line?
Tip: When finding intercepts, always look for where the line crosses the respective axes, as these are key points that simplify further calculations.
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Math Problem Analysis
Mathematical Concepts
Linear Functions
Graphing
Intercepts
Formulas
x-intercept: Set y = 0
y-intercept: Set x = 0
Theorems
Intercept Theorem
Linear Equation
Suitable Grade Level
Grades 7-9