Math Problem Statement

y = 9x -1

Solution

The equation y=9x1y = 9x - 1 is in slope-intercept form, where:

  • m = 9 is the slope of the line, and
  • b = -1 is the y-intercept, which means the line crosses the y-axis at y=1y = -1.

Characteristics of this linear equation:

  1. The slope of 9 means that for every 1 unit you move to the right along the x-axis, the y-coordinate increases by 9 units.
  2. The y-intercept b=1b = -1 means that the line crosses the y-axis at the point (0, -1).

If you need to find specific points on this line or need help graphing it, feel free to ask!

Would you like me to go into more detail about any specific part?

Further related questions:

  1. How do I graph the equation y=9x1y = 9x - 1?
  2. What is the slope of a line, and how does it affect the graph?
  3. How can I convert this equation into standard form?
  4. How do I find the equation of a line given a point and slope?
  5. What is the meaning of the y-intercept in this equation?

Tip:

To quickly graph a linear equation, start by plotting the y-intercept, and then use the slope to determine other points. For example, from (0,1)(0, -1), you can move 9 units up and 1 unit to the right to plot the next point!

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Slope-Intercept Form

Formulas

Slope-Intercept Form: y = mx + b

Theorems

Slope-Intercept Theorem

Suitable Grade Level

Grades 6-8