Math Problem Statement
A linear function is given. Complete parts (a)-(d). f left parenthesis x right parenthesis equals negative 3 x plus 4 Question content area bottom left Part 1 (a) Determine the slope and y-intercept of the function. The slope is
enter your response here.
Solution
For the linear function , the general form is:
Where:
- is the slope.
- is the y-intercept.
In your function:
- (slope),
- (y-intercept).
So, the slope is -3 and the y-intercept is 4.
Would you like me to assist with parts (b)-(d), or offer more details on how slope and y-intercept are determined?
Here are 5 related questions to consider:
- How can you graph a linear function using its slope and y-intercept?
- What happens to the graph when the slope changes but the y-intercept stays the same?
- How do you find the x-intercept of a linear function?
- Can a linear function have a slope of zero? What does that mean graphically?
- What is the significance of a negative slope in a linear function?
Tip: The y-intercept tells you where the graph crosses the y-axis, while the slope determines how steep the line is!
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Math Problem Analysis
Mathematical Concepts
Linear Functions
Slope-Intercept Form
Graphing Functions
Formulas
Slope-intercept form: f(x) = mx + b
Theorems
Slope-intercept theorem
Suitable Grade Level
Grades 8-10
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