Math Problem Statement
The table of values shows a linear relationship between x and y. What is the slope of the line represented by the table of values? The options are: A) -8/5, B) -5/8, C) 8/5, D) 5/8.
Solution
To find the slope of the line represented by the table of values, we can use the formula for the slope between two points:
Let's calculate the slope using two points from the table. We will use and .
Thus, the slope of the line is:
The correct answer is A: .
Would you like more details or have additional questions?
Here are 5 related questions for practice:
- How would you calculate the slope if given different points from the table?
- Can you derive the equation of the line using this slope?
- What is the -intercept of the line represented by the table?
- If the slope were positive, what would that tell you about the line's direction?
- How can you verify that all points in the table follow the same linear relationship?
Tip: The slope of a line indicates the rate of change of with respect to ; a negative slope means the line is decreasing!
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Slope-Intercept Form
Rate of Change
Formulas
m = (y2 - y1) / (x2 - x1)
Theorems
-
Suitable Grade Level
Grades 8-10