Math Problem Statement

graph y=-1

Solution

The graph of the equation y=1y = -1 is a horizontal line.

  • Since the equation y=1y = -1 does not depend on xx, the value of yy remains constant at 1-1 for all values of xx.
  • This results in a straight, horizontal line passing through (x,1)(x, -1) for all values of xx.

In summary:

  • The line crosses the yy-axis at y=1y = -1.
  • The slope of the line is 0, meaning it is perfectly flat and horizontal.

Would you like to see a detailed graph or have further explanations?

Here are some related questions:

  1. How would the graph change for y=cy = c, where cc is a constant?
  2. What is the slope of a horizontal line, and how is it calculated?
  3. How do vertical lines differ from horizontal ones in terms of their equations?
  4. What happens to the graph if we add a term involving xx, like y=1+2xy = -1 + 2x?
  5. How does the graph of y=1y = -1 compare to the graph of y=xy = x?

Tip: Horizontal lines always represent equations where the value of yy remains constant, regardless of xx.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Graphing

Formulas

y = c, where c is a constant

Theorems

Slope-Intercept Form

Suitable Grade Level

Grades 6-8