Math Problem Statement
List the slope and y-intercept. Then, graph. f(x)equals3xminus5 Question content area bottom left Part 1 The slope is enter your response here. (Simplify your answer.) Part 2 The y-intercept is enter your response here. (Type an ordered pair. Simplify your answer.)
Solution
The equation of the function is given as:
Part 1: Slope
The function is in the slope-intercept form, which is:
where is the slope, and is the y-intercept.
- Slope (m): The coefficient of is 3, so the slope is:
Part 2: Y-intercept
The y-intercept is the value of when . From the equation:
Thus, the y-intercept is:
Would you like me to help you graph the function?
Here are 5 additional related questions:
- How do you calculate the slope between two points?
- What does the slope tell you about the graph of a linear function?
- How do you find the x-intercept of a linear equation?
- How does changing the slope affect the steepness of the line?
- What are other forms of linear equations besides slope-intercept form?
Tip: To graph a line, plot the y-intercept first, then use the slope to determine other points.
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Slope-Intercept Form
Graphing Functions
Formulas
Slope-Intercept Form: y = mx + b
Theorems
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Suitable Grade Level
Grades 8-10