Math Problem Statement
Determine the slope of the line.
Solution
To determine the slope of the line in the graph:
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Identify two points on the line: From the image, two clear points are and .
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Use the slope formula:
Substituting the coordinates and :
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Conclusion: The slope of the line is .
Would you like a further breakdown or additional examples?
Here are five related questions to deepen understanding:
- What is the slope of a vertical line?
- How does the slope of a horizontal line compare to that of a diagonal line?
- If the slope of a line is , what does the graph look like?
- How does changing the sign of the slope affect the direction of the line?
- What does a slope of represent on a graph?
Tip: Always simplify your slope fraction to its lowest terms to ensure accuracy.
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Math Problem Analysis
Mathematical Concepts
Geometry
Slope of a Line
Linear Equations
Formulas
m = (y2 - y1) / (x2 - x1)
Theorems
Slope formula
Suitable Grade Level
Grades 6-8