Math Problem Statement
Find the slope
Find the slope
Solution
To determine the slope of the line from the image, let's analyze the graph:
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The slope () is calculated using the formula:
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Based on the image:
- The line passes through two visible points:
- The first point: approximately
- The second point: approximately
- The line passes through two visible points:
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Calculate the change in () and change in ():
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The slope is:
Final Answer:
The slope of the line is 2.
Would you like further details on this?
Expanding your understanding:
- What does the slope represent in real-world applications?
- How does the slope of a line relate to its steepness?
- Can you identify slopes from equations like ?
- How would a negative slope change the direction of the line?
- What is the slope of a horizontal or vertical line?
Tip: Always check the units or scaling of the graph to ensure your calculations are accurate.
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Slope
Coordinate Geometry
Formulas
Slope formula: m = (y2 - y1) / (x2 - x1)
Theorems
Concept of Slope in Linear Equations
Suitable Grade Level
Grades 7-9