Math Problem Statement
Which statement is true: The slope of Function A is greater than the slope of Function B, or the slope of Function A is less than the slope of Function B?
Solution
Let's analyze the question.
Function A is given as .
This is in slope-intercept form , where is the slope. For Function A, the slope () is 1.
For Function B, let's calculate the slope using the graph. The slope is the rise over the run:
- From the graph, one point on Function B is and another is .
- Rise = , and Run = .
- Slope = .
Thus:
- The slope of Function A is 1.
- The slope of Function B is 5.
Correct Answer:
The slope of Function A is less than the slope of Function B.
Would you like a detailed explanation of slope calculations?
Here are 5 related questions for practice:
- How do you find the slope of a line from two points?
- What is the y-intercept of Function A?
- How do you determine if two lines are parallel?
- Can you write the equation of Function B in slope-intercept form?
- How do you calculate the slope of a vertical or horizontal line?
Tip: Always remember, the slope is calculated as the ratio of vertical change (rise) to horizontal change (run).
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Math Problem Analysis
Mathematical Concepts
Linear Functions
Slope
Formulas
Slope = (y2 - y1) / (x2 - x1)
y = mx + b (Slope-Intercept Form)
Theorems
Properties of Linear Functions
Suitable Grade Level
Grades 8-10