Math Problem Statement
Solution
To solve for the slope of the line passing through the points and , we use the slope formula:
Step-by-Step Solution:
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Assign the coordinates:
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Substitute into the formula:
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Simplify:
- Numerator:
- Denominator:
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Simplify further:
Final Answer:
The slope of the line is:
Would you like more details or have questions? Here are five follow-up concepts:
- What does a slope of indicate about the line's direction?
- How do we interpret slope in the context of rise over run?
- Can you find the equation of this line in slope-intercept form?
- How do we verify the slope using the distance formula?
- What happens to the slope if the two points are swapped?
Tip: Always simplify fractions in slope calculations to avoid errors!
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Math Problem Analysis
Mathematical Concepts
Algebra
Analytic Geometry
Linear Equations
Formulas
Slope Formula: m = (y2 - y1) / (x2 - x1)
Theorems
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Suitable Grade Level
Grades 8-10
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