Math Problem Statement
Graph the following equation in a rectangular coordinate system. x=-4
Solution
The equation represents a vertical line in the rectangular coordinate system. Since the equation gives a constant value for , the line is vertical and passes through for all values of .
I can describe or graph it for you:
- The line is parallel to the -axis.
- The line crosses the -axis at , but continues infinitely both upwards and downwards, for all -values.
Would you like me to create a visual representation of this graph?
Here are 5 related questions:
- What does a horizontal line equation look like?
- How do you determine the slope of a vertical line?
- How does the graph of differ from ?
- What happens when you graph a line parallel to the -axis?
- How do you write the equation of a line parallel to but shifted 3 units to the right?
Tip: A vertical line has an undefined slope, as there is no change in for any change in .
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Coordinate Geometry
Formulas
Equation of a vertical line: x = constant
Theorems
Vertical Line Theorem: A line with the equation x = constant is vertical and parallel to the y-axis.
Suitable Grade Level
Grades 6-8