Math Problem Statement
Which statement is true regarding the slope of Function A and Function B?
Solution
We are given two functions:
- Function A is defined by a table of values: \hline x & y \\ \hline -8 & 1 \\ -4 & 2 \\ 8 & 5 \\ \hline \end{array}$$
- Function B is , where the slope is clearly 1.
Now, let's calculate the slope of Function A using the slope formula: Let's take two points from the table, say and :
Thus, the slope of Function A is .
Since the slope of Function B is 1, and , the slope of Function A is less than the slope of Function B.
So, the correct answer is:
- "The slope of Function A is less than the slope of Function B."
Would you like more details or have any questions?
Here are 5 related questions to further explore:
- How do you determine the slope of a line from a graph?
- Can the slope of a linear function be zero?
- What does a negative slope indicate in a linear function?
- How would you graph Function B using its equation?
- What is the meaning of the slope in real-world problems?
Tip: The slope of a line tells you how steep the line is and whether it rises or falls as you move from left to right on a graph.
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Math Problem Analysis
Mathematical Concepts
Linear Functions
Slope
Algebra
Formulas
Slope formula: m = (y2 - y1) / (x2 - x1)
Theorems
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Suitable Grade Level
Grades 8-10