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
To calculate the slope of the given line, we need to use the formula:
From the graph:
- The line passes through two points: approximately and .
- The rise is the change in the -coordinates: .
- The run is the change in the -coordinates: .
Now, substitute these values into the slope formula:
The slope of the line is -1, as given in the answer box.
Would you like me to explain further or check other aspects of the problem?
Related Questions:
- What is the general formula for calculating the slope between two points?
- Can a vertical line have a slope? Why or why not?
- How does a negative slope affect the direction of a line?
- What are the key differences between slope-intercept and point-slope forms of linear equations?
- How can the slope be applied to real-world problems, such as rates of change?
Tip:
Always double-check the rise and run calculations by identifying exact coordinates to ensure accuracy!
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Graphing
Formulas
Slope formula: (rise/run)
Theorems
Concept of Slope
Suitable Grade Level
Grades 8-10