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 line in the graph starts at the point and ends at approximately .
Step 1: Calculate the rise (vertical change)
The rise is the difference in the -coordinates:
Step 2: Calculate the run (horizontal change)
The run is the difference in the -coordinates:
Step 3: Determine the slope
The slope of a line is calculated as:
Thus, the slope of the line is .
Let me know if you need more details or if you have any questions!
Here are 5 related questions you might consider:
- How would the slope change if the line was steeper?
- What does a positive slope represent compared to a negative slope?
- How can you determine the equation of the line from the graph?
- What is the y-intercept of the line in this case?
- How would you find the slope if the points were not given but you had the equation of the line?
Tip: When calculating slope, always remember that a negative slope means the line is slanting downwards from left to right!
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Math Problem Analysis
Mathematical Concepts
Coordinate Geometry
Slope
Linear Equations
Formulas
Slope formula: (rise/run) = (change in y / change in x)
Theorems
Slope of a line theorem
Suitable Grade Level
Grades 8-10