Math Problem Statement
Solution
To find the slope between two points on a graph, we use the slope formula:
Looking at the table, you have the following points:
- Point 1:
- Point 2:
Using the slope formula with these points:
Thus, the slope is .
Would you like further clarification or additional details on how this was calculated?
Here are 5 related questions you could explore:
- How would the slope change if we picked two different points from the table?
- What does a negative slope tell you about the relationship between and ?
- How do you calculate the slope for vertical or horizontal lines?
- Can the slope of a line be zero? If so, in what scenario?
- What is the significance of the slope in real-world applications like distance-time graphs?
Tip: A steeper negative slope means the line decreases faster as increases.
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Math Problem Analysis
Mathematical Concepts
Slope of a Line
Linear Equations
Coordinate Geometry
Formulas
Slope formula: m = (y2 - y1) / (x2 - x1)
Theorems
Slope theorem: The slope of a line measures the rate of change between two points on the line.
Suitable Grade Level
Grades 6-8
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