Math Problem Statement

y=9x

Solution

The equation y=9xy = 9x represents a linear function where the slope is 9. Here's some basic information about it:

  • Slope (m): The slope is 9, meaning that for every unit increase in xx, yy increases by 9 units.
  • Y-intercept (b): Since there is no constant term, the y-intercept is 0. This means the line passes through the origin (0,0).
  • Graph: The graph of this equation is a straight line that slopes upwards from left to right at a steep rate due to the large slope.

Would you like a detailed explanation of the graph or its applications?

Here are 5 related questions for you to consider:

  1. What is the slope of the line in the equation y=9x+3y = 9x + 3?
  2. How does changing the slope to 2 in y=2xy = 2x affect the graph?
  3. How can you find the x-intercept for a linear equation like y=9xy = 9x?
  4. What is the equation of a line parallel to y=9xy = 9x?
  5. What happens to the graph if we change y=9xy = 9x to y=9x5y = 9x - 5?

Tip: The slope in a linear equation like y=mx+by = mx + b always tells you how steep the line is and whether it rises or falls.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Slope-Intercept Form
Graphing

Formulas

y = mx + b (Slope-Intercept Form)
Slope (m) = rise/run

Theorems

Slope-Intercept Theorem

Suitable Grade Level

Grades 6-8