Math Problem Statement
A linear relationship is given in the table.
x y 6 −2 2 2 0 4 −2 6
What is the slope of the relationship? −2 −1 1 2
Solution
To find the slope of a linear relationship, we use the formula for slope, which is:
You can choose any two points from the table to calculate the slope. Let's use the points (6, -2) and (2, 2).
So, the slope of the relationship is -1.
Would you like further details or an explanation on another concept?
Related questions:
- How do you calculate the slope of a line if given the equation?
- What does a slope of -1 represent in a real-world scenario?
- How can you confirm if the relationship is linear using a graph?
- What is the y-intercept of the line passing through these points?
- How would you write the equation of this line using slope-intercept form?
Tip: The slope indicates the rate of change between x and y. A negative slope means y decreases as x increases.
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Math Problem Analysis
Mathematical Concepts
Linear Relationships
Slope of a Line
Coordinate Geometry
Formulas
Slope formula: slope = (y2 - y1) / (x2 - x1)
Theorems
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Suitable Grade Level
Grades 7-9