Math Problem Statement
The graph of a function is shown on the coordinate plane. Identify the slope of the function.
Solution
To determine the slope of the function from the graph:
-
Identify two clear points on the line. From the image, the line passes through:
- Point 1:
- Point 2:
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Use the slope formula: Substituting the coordinates:
The slope of the line is 1.
Do you need more details or have any questions?
Here are 5 related questions to explore further:
- How does changing the slope affect the steepness of a line?
- What is the slope of a horizontal line?
- How would the slope change if one of the points was different?
- What is the relationship between slope and rate of change?
- How do you calculate the slope for a vertical line?
Tip: The slope represents the rate at which changes with respect to . For a slope of 1, for every unit increase in , increases by the same amount.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Graphing
Formulas
Slope formula: (y2 - y1) / (x2 - x1)
Theorems
Slope of a line
Suitable Grade Level
Grades 6-8