Math Problem Statement
What is the slope of the line in this graph?
Solution
To determine the slope of the line in the graph, we can follow these steps:
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Identify two points on the line:
- From the graph, we can choose two clear points where the line crosses grid intersections.
- One point is and another point is .
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Use the slope formula: The formula for the slope between two points and is: Substituting the points and :
Thus, the slope of the line is .
However, none of the given answer choices directly match this value. This suggests a possible error in the answer options provided.
Would you like further clarification or more details on this? Here are 5 related questions to consider:
- How do you interpret slope in real-world applications?
- Can the slope formula be applied to non-linear relationships?
- How would the graph change if the slope were negative?
- What does a slope of zero signify about the line on a graph?
- How do you find the equation of a line if you're given its slope and a point?
Tip: When reading a graph, ensure the selected points are precisely on the grid to avoid errors in calculating slope!
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Slope Calculation
Formulas
Slope formula: m = (y2 - y1) / (x2 - x1)
Theorems
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Suitable Grade Level
Grades 7-9