Math Problem Statement
Solution
From the given graph and statements, let’s analyze each option:
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The y-intercept of the red line is moved down: The red line crosses the y-axis above zero, so it does not appear to have moved down.
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The slope of the red line is steeper: This is not true because the black line has a much steeper slope than the red line.
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The slope of the red line is less steep: This statement is true because the red line has a smaller slope (is less steep) than the black line.
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The y-intercept of the red line is moved up: The red line starts above the origin, so this could indicate a positive y-intercept.
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The slope of the red line is the same: This is not true because the red and black lines have different slopes.
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The y-intercept of the red line is the same: This is false, as the red and black lines have different y-intercepts.
Conclusion
The correct answer is:
- The slope of the red line is less steep
Would you like more details or have any questions?
Related Questions
- How can we determine the slope of a line from a graph?
- How do we find the y-intercept of a line?
- What does it mean for a line to be "steeper" in mathematical terms?
- How does changing the slope affect a line's angle?
- How does the y-intercept affect where a line crosses the y-axis?
Tip
Remember, the slope indicates the "steepness" of a line, while the y-intercept shows where it crosses the y-axis.
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Graph Interpretation
Slope and Y-Intercept
Formulas
Slope = (change in y) / (change in x)
Theorems
Properties of Linear Functions
Suitable Grade Level
Grades 8-10