Math Problem Statement
What is the slope of the graph of the linear function y = 2x - 3?
Solution
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Problem Description:
- Left Side: It shows a graph of a linear equation. The equation is .
- Right Side: A multiple-choice question asks, "What is the slope of the graph of the linear function ?"
Solution:
The slope-intercept form of a linear equation is given by: where is the slope and is the y-intercept.
For the given equation , the slope is .
Answer:
The correct answer to the multiple-choice question is (A) 2.
Would you like more details on this solution or have any other questions? Here are some related questions you might find helpful:
- How do you find the y-intercept from a linear equation?
- What does the slope of a line represent?
- How can you determine the slope of a line given two points?
- What is the significance of the slope in real-world applications?
- How would the graph change if the slope was negative?
Tip: Remember that the slope determines the steepness of the line; a higher slope means a steeper line.
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Graph Interpretation
Formulas
Slope-Intercept Form: y = mx + c
Theorems
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Suitable Grade Level
Grades 6-8