Math Problem Statement
What is the slope of this line?
Solution
To find the slope of the line shown in the graph:
Steps to Determine the Slope
-
Slope formula:
Here, "rise" is the vertical change, and "run" is the horizontal change. -
Identify two clear points on the graph:
- The line passes through and .
-
Calculate the rise and run:
- Rise (change in ):
- Run (change in ): .
-
Divide the rise by the run:
Final Answer:
The slope of the line is .
Would you like a further explanation of the slope calculation process or a review of different forms of linear equations? Here are some related questions you might consider:
- How do you calculate the slope when given two points?
- What does a positive or negative slope tell us about a line?
- How can you determine if two lines are parallel or perpendicular?
- How do you write the equation of a line using the slope and one point?
- What is the difference between a proper fraction and an improper fraction?
Tip: Always check for clear points where the line crosses grid intersections to simplify slope calculations!
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Math Problem Analysis
Mathematical Concepts
Coordinate Geometry
Slope of a Line
Formulas
Slope formula: m = (change in y) / (change in x)
Theorems
Definition of slope between two points on a line
Suitable Grade Level
Grade 7-9