Math Problem Statement
The points in the table lie on a line. Find the slope of the line.
Solution
The table shows four points that lie on a line. To find the slope of the line, we can use the formula for the slope between any two points and :
Let's pick two points from the table: and .
Applying the slope formula:
The slope of the line is .
Do you want more details or have any questions?
Here are 5 related questions:
- Can you verify the slope by using different pairs of points from the table?
- How do we know that the points lie on a straight line?
- What does the slope represent in real-world terms?
- What would happen to the slope if the line were steeper?
- Can the slope of a line ever be negative?
Tip: The slope of a line tells us how much the -value changes for a given change in the -value.
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Math Problem Analysis
Mathematical Concepts
Algebra
Coordinate Geometry
Slope of a Line
Formulas
Slope formula: slope = (y2 - y1) / (x2 - x1)
Theorems
Slope of a Line
Suitable Grade Level
Grades 7-9