Math Problem Statement
f(x) = -2x + 4
Solution
The given function is:
This is a linear function, where:
- Slope (m): -2, which means the line decreases by 2 units for every 1 unit increase in .
- Y-intercept (b): 4, which means the line crosses the y-axis at .
Would you like more details on this function or how it behaves graphically?
Here are some related questions to expand your understanding:
- What is the slope-intercept form of a linear equation?
- How do you find the x-intercept of a linear function?
- What does the slope of a line represent in a real-world context?
- How can you determine if two lines are parallel using their equations?
- How would the graph of change if the slope were positive?
Tip: A negative slope indicates that the function is decreasing; as increases, decreases.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Formulas
Slope-intercept form: y = mx + b
Theorems
Slope-intercept theorem
Suitable Grade Level
Grades 7-10