Math Problem Statement

Is y=9x+15

Solution

Yes, the equation y=9x+15y = 9x + 15 is a linear equation. It represents a straight line when graphed on the coordinate plane. In this equation:

  • yy is the dependent variable.
  • xx is the independent variable.
  • The number 9 is the slope of the line, meaning for every 1 unit increase in xx, yy increases by 9 units.
  • The number 15 is the y-intercept, meaning the line crosses the y-axis at y=15y = 15.

Would you like more details or have any specific questions about this?

Here are 5 related questions:

  1. How would you find the x-intercept of the line y=9x+15y = 9x + 15?
  2. What is the slope-intercept form of a linear equation, and how is it useful?
  3. Can you graph the equation y=9x+15y = 9x + 15?
  4. How would the graph change if the slope or y-intercept were different?
  5. How can you find the slope of a line from two points on the graph?

Tip: The slope-intercept form of a line is y=mx+by = mx + b, where mm is the slope and bb is the y-intercept.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Slope-intercept form: y = mx + b

Theorems

Slope-Intercept Theorem

Suitable Grade Level

Grades 7-10