Math Problem Statement
What is the slope of this line passing through points (2, 4) and (6, 6)?
Solution
The question asks for the slope of the line passing through the points and . To calculate the slope , we use the slope formula:
Here, and .
Substituting the values into the formula:
Thus, the slope of the line is .
Would you like any additional details or clarification?
Here are 5 related questions:
- How do you interpret slope in a real-world context?
- What is the equation of a line given its slope and a point?
- How does the slope of a line relate to its steepness?
- What happens to the slope if the line is vertical?
- How do you find the slope between two points when one or both points involve negative coordinates?
Tip: A positive slope means the line rises as it moves from left to right.
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Math Problem Analysis
Mathematical Concepts
Algebra
Slope
Coordinate Geometry
Formulas
Slope formula: m = (y2 - y1) / (x2 - x1)
Theorems
Slope Theorem
Suitable Grade Level
Grades 7-9