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 determine the slope of the line shown in the graph, we need to calculate the "rise" (vertical change) and "run" (horizontal change) between two points on the line.
Step 1: Identify Two Points
Looking at the line, we can identify two points:
- First Point:
- Second Point:
Step 2: Calculate the Rise and Run
- Rise (Vertical Change): From 10 to -6, which is .
- Run (Horizontal Change): From -8 to 8, which is .
Step 3: Calculate the Slope
The slope of the line is given by:
Conclusion
The slope of the line in its simplest form is .
Do you want further details or have any questions?
Here are some related questions you might explore:
- How do you find the slope of a line from a graph?
- What does a negative slope indicate about the direction of a line?
- How can you find the equation of a line using the slope and a point?
- How would the slope change if the line was steeper?
- What are some real-world applications of understanding slope?
Tip: The slope is a measure of how steep a line is; a negative slope means the line goes down as it moves from left to right!
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Math Problem Analysis
Mathematical Concepts
Coordinate Geometry
Slope of a Line
Formulas
Slope formula: m = (y2 - y1) / (x2 - x1)
Theorems
Basic principles of slope calculation
Suitable Grade Level
Grades 7-9