Math Problem Statement

The user provided a graph of the equation y = -4.

Solution

The graph you've provided is a plot of the equation y=4y = -4. This is a horizontal line that passes through all points where the yy-coordinate is 4-4.

Key details:

  • The equation y=4y = -4 means that for every point on the line, the yy-value remains constant at 4-4, regardless of the xx-value.
  • The line is parallel to the xx-axis and intersects the yy-axis at 4-4.

Would you like further explanation or any additional details?

Here are 5 follow-up questions related to this graph:

  1. How do we identify whether a line is vertical or horizontal from its equation?
  2. What is the slope of a line defined by y=4y = -4?
  3. Can you write the equation of a vertical line that passes through the point (2,4)(2, -4)?
  4. How does the graph of y=4y = -4 differ from the graph of x=4x = -4?
  5. If the equation was y=x4y = x - 4, how would the graph change?

Tip: Horizontal lines always have a slope of 0, while vertical lines have an undefined slope.

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Math Problem Analysis

Mathematical Concepts

Graphing linear equations
Horizontal and vertical lines
Algebra

Formulas

Equation of a horizontal line: y = constant

Theorems

Horizontal lines have a slope of 0

Suitable Grade Level

Grades 6-8