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 . This is a horizontal line that passes through all points where the -coordinate is .
Key details:
- The equation means that for every point on the line, the -value remains constant at , regardless of the -value.
- The line is parallel to the -axis and intersects the -axis at .
Would you like further explanation or any additional details?
Here are 5 follow-up questions related to this graph:
- How do we identify whether a line is vertical or horizontal from its equation?
- What is the slope of a line defined by ?
- Can you write the equation of a vertical line that passes through the point ?
- How does the graph of differ from the graph of ?
- If the equation was , 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