Math Problem Statement
Solution
From the graph provided, you are asked to find the slopes of three lines: Line A, Line B, and Line C.
To determine the slope of each line, use the formula for slope between two points:
Analysis of the slopes:
-
Line A (Blue): This line appears to be increasing from left to right, so the slope is positive.
- It passes through points and .
- Slope = .
-
Line B (Red): This line is decreasing from left to right, so the slope is negative.
- It passes through points and .
- Slope = .
-
Line C (Green): This line is decreasing steeply from left to right, so the slope is negative.
- It passes through points and .
- Slope = .
Final Slopes:
- Slope of Line A:
- Slope of Line B:
- Slope of Line C:
Let me know if you need more details or explanations!
Related Questions:
- What is the significance of a positive versus negative slope?
- How do you determine if a line is steeper based on its slope?
- What happens to a line when the slope is zero?
- Can two different lines have the same slope but be distinct?
- How does the slope formula change if the line is vertical?
Tip: Always check if a line is horizontal or vertical because horizontal lines have a slope of 0, and vertical lines have an undefined slope.
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Math Problem Analysis
Mathematical Concepts
Coordinate Geometry
Slope of a Line
Formulas
Slope formula: (y2 - y1) / (x2 - x1)
Theorems
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Suitable Grade Level
Grades 6-9