Math Problem Statement
The points in the table lie on a line. Find the slope of the line. The points are (-1, -4), (0, -1), (1, 2), (2, 5).
Solution
To find the slope of the line passing through the points in the table, we can use the slope formula:
Using any two points from the table, let’s take and :
Thus, the slope of the line is 3.
Would you like more details or have any questions?
Here are five related questions:
- How would the slope change if one of the points had a negative x-value and positive y-value?
- Can you use the same formula to find the slope between other pairs of points in the table?
- How does the slope of a vertical line differ from that of a horizontal line?
- What is the equation of the line that passes through these points with the slope we found?
- Can the slope be determined from any two distinct points on a line?
Tip: When calculating slope, always check that you correctly subtract the coordinates, keeping the order consistent for both and values.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Formulas
Slope formula: (y2 - y1) / (x2 - x1)
Theorems
Slope of a Line
Suitable Grade Level
Grades 6-8