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 y=2x3y = 2x - 3.
  • Right Side: A multiple-choice question asks, "What is the slope of the graph of the linear function y=2x3y = 2x - 3?"

Solution:

The slope-intercept form of a linear equation is given by: y=mx+cy = mx + c where mm is the slope and cc is the y-intercept.

For the given equation y=2x3y = 2x - 3, the slope mm is 22.

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:

  1. How do you find the y-intercept from a linear equation?
  2. What does the slope of a line represent?
  3. How can you determine the slope of a line given two points?
  4. What is the significance of the slope in real-world applications?
  5. 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