Math Problem Statement
Find the slope of the line in the provided graph.
Solution
To find the slope of the line in the graph, let's follow these steps:
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Identify Two Points on the Line: From the graph, we can observe that two points on the line are:
- Point 1:
- Point 2:
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Use the Slope Formula: The formula for the slope between two points and is:
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Substitute the Points:
Therefore, the slope of the line is -1.
Would you like more details on slope calculation or any additional assistance?
Here are five questions to further explore this topic:
- How do you interpret a negative slope on a graph?
- What are the characteristics of a line with a slope of -1?
- How does changing the points used affect the slope calculation?
- What does it mean if a line has a slope of 0?
- How would you find the equation of this line?
Tip: When finding the slope, choose points that are easy to read on the grid to simplify calculations.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Coordinate Geometry
Formulas
Slope formula: m = (y2 - y1) / (x2 - x1)
Theorems
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Suitable Grade Level
Grades 8-10