Math Problem Statement
Find the slope of the line shown in the graph by using the formula rise/run.
Solution
To find the slope of the line in the given graph, we follow the "rise over run" formula for the slope:
Step-by-Step Solution:
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Identify two points on the line: From the graph, two points are clearly marked:
- Point 1:
- Point 2:
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Determine the rise and run:
- Rise is the change in (the vertical change), which can be calculated as .
- Run is the change in (the horizontal change), which is calculated as .
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Calculate the slope:
Final Answer:
The slope of the line is .
Would you like more details or have any questions? Here are five related questions you might find useful:
- How do you determine the rise and run from two points on a graph?
- What is the relationship between a positive and negative slope?
- How does the slope formula change if the line is vertical or horizontal?
- Can you find the equation of the line given these points?
- What does the slope tell us about the direction of the line?
Tip: When choosing points from a graph, make sure they are clear intersections on the grid lines to avoid errors in calculation.
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Math Problem Analysis
Mathematical Concepts
Algebra
Coordinate Geometry
Slope Calculation
Formulas
Slope formula: slope = (y2 - y1) / (x2 - x1)
Theorems
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Suitable Grade Level
Grade 7