Math Problem Statement

Graph the equation. Let xequalsminus​3, minus​2, minus​1, ​0, 1,​ 2, and 3. y= 3x-4

Solution

Here is the graph of the equation y=3x4y = 3x - 4, with xx values ranging from -3 to 3. Each point represents the corresponding values of yy for the given xx values.

Would you like more details or have any questions about the graph?

Here are 5 related questions to explore:

  1. What happens to the graph when you change the slope (e.g., y=2x4y = 2x - 4)?
  2. How does shifting the constant term affect the graph (e.g., y=3x2y = 3x - 2)?
  3. What is the slope and what does it represent in this graph?
  4. Can you identify the y-intercept of this line from the graph?
  5. How would the graph change if the equation was y=3x4y = -3x - 4?

Tip: The slope in the equation y=mx+by = mx + b determines how steep the line is, and the constant bb is the y-intercept (where the line crosses the y-axis).

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Graphing

Formulas

y = mx + b

Theorems

Slope-Intercept Form Theorem

Suitable Grade Level

Grades 6-8