Math Problem Statement
Find the y-intercept and the x-intercept of the line shown in the graph.
Solution
Let's analyze the graph to find the y-intercept and x-intercept of the line.
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Y-intercept: The point where the line crosses the y-axis. From the graph, the line crosses the y-axis at .
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X-intercept: The point where the line crosses the x-axis. From the graph, the line crosses the x-axis at approximately .
Final answers:
- (a) Y-intercept:
- (b) X-intercept:
Would you like further details or have any other questions?
Here are five follow-up questions you might find interesting:
- How can you find the slope of this line using its intercepts?
- What is the equation of the line in slope-intercept form?
- How does the sign of the slope affect the direction of the line?
- What would happen if the y-intercept was at ?
- How do you determine intercepts for more complex functions like parabolas?
Tip: The slope of a line can be found using the formula based on two points on the line.
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Graphing
Formulas
Y-intercept: Set x = 0, solve for y
X-intercept: Set y = 0, solve for x
Theorems
Intercept Theorem: A line crosses the y-axis when x = 0 and the x-axis when y = 0
Suitable Grade Level
Grades 6-8