Math Problem Statement
f(x) = -3x + 5
Solution
The function provided in the image is:
This is a linear function, which can be expressed in the form , where is the slope and is the y-intercept.
For this function:
- The slope () is , which means the line decreases as increases (a downward slope).
- The y-intercept () is , indicating that the line crosses the y-axis at the point .
Would you like to see a graph of this function, or do you have any specific questions about it?
Here are 5 related questions to explore further:
- What is the x-intercept of the function ?
- How do we find the slope of a linear function from its equation?
- What happens to the graph of if the slope changes from to ?
- How would the graph look if the y-intercept changes to ?
- How can this linear function be used to solve real-world problems?
Tip: The slope in a linear equation tells you how much the output (y-value) changes for a unit increase in the input (x-value).
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Math Problem Analysis
Mathematical Concepts
Linear Functions
Algebra
Formulas
f(x) = mx + b (Linear function)
Slope = -3
Y-intercept = 5
Theorems
Slope-Intercept Form of a Line
Suitable Grade Level
Grades 8-10