Math Problem Statement
Find the slope of the line represented by the points (1, 6), (2, 14), (3, 22), (4, 30), (5, 38). These points are linear.
Solution
To find the slope of the line represented by the points given in the table, we use the formula for the slope between any two points and :
We can use any two points from the table to calculate this. Let's use the first two points and :
Thus, the slope of the line is .
Would you like any further details on this calculation, or do you have any other questions?
Here are some related questions you might consider:
- How would the slope change if new points were added?
- What does the slope tell us about the nature of the graph?
- Can you find the equation of the line using these points?
- How do you determine if a point not in the table lies on this line?
- What would be the y-intercept of this line based on the table provided?
Tip: Remember, consistency in the results when using multiple pairs of points to calculate slope is a good check that the points indeed lie on a straight line.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Slope
Formulas
Slope formula: m = (y2 - y1) / (x2 - x1)
Theorems
Linear equation theorem
Suitable Grade Level
Grades 6-8