Math Problem Statement
What is the slope of the function represented by the table?
Solution
To determine the slope of the linear function represented by the table, we need to use the slope formula:
We can select any two points from the table. Let's use the points and :
Thus, the slope of the linear function is 3.
Would you like further explanation or have any questions?
Here are five related questions you might find useful:
- How would the slope change if the function were decreasing?
- What is the significance of the slope in a real-world context?
- How do you calculate the y-intercept from this table?
- Can the slope be determined from any pair of points on the line?
- What does a slope of zero represent for a function?
Tip: When finding the slope from a table, you can choose any two points, as the slope will be the same for all pairs of points in a linear function.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Functions
Slope
Formulas
Slope formula: m = (y2 - y1) / (x2 - x1)
Theorems
Linear equation properties
Suitable Grade Level
Grades 8-10