Math Problem Statement
Draw a line representing the 'rise' and a line representing the 'run' of the line. State the slope of the line in simplest form.
Solution
The graph shows a line passing through two points, which will help us calculate the slope by determining the "rise" and "run." The slope of a line is calculated as:
From the graph, the line appears to pass through two points, approximately and .
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Calculate the rise: The rise is the difference in the y-coordinates:
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Calculate the run: The run is the difference in the x-coordinates:
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Calculate the slope:
So, the slope of the line is .
Would you like more details or explanations? Here are 5 related questions:
- How is slope related to the steepness of a line?
- What does a negative slope indicate about the direction of a line?
- How can you find the equation of a line if you know its slope and a point?
- What is the difference between positive, negative, zero, and undefined slopes?
- How would the slope change if the line were vertical?
Tip: Always remember that the slope represents the change in (rise) over the change in (run).
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Math Problem Analysis
Mathematical Concepts
Algebra
Geometry
Coordinate Geometry
Formulas
Slope formula: m = (y2 - y1) / (x2 - x1)
Theorems
Slope formula
Suitable Grade Level
Grades 7-10