Math Problem Statement

Graph the line y=3x

Solution

Here is the graph of the line y=3xy = 3x. The line passes through the origin and has a slope of 3, meaning for every 1 unit increase in xx, yy increases by 3 units.

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 if the slope changes from 3 to 5?
  2. How do you graph the line y=2xy = -2x?
  3. What is the significance of the slope in a linear equation?
  4. Can you find the x- and y-intercepts for the line y=3xy = 3x?
  5. How does adding a constant (like y=3x+2y = 3x + 2) affect the graph?

Tip: The slope of a line, also known as the rate of change, dictates how steep the line is.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Graphing

Formulas

Slope-intercept form: y = mx + b

Theorems

Slope of a Line

Suitable Grade Level

Grades 6-8