Math Problem Statement
Graph the line by plotting two points. y=−1
Solution
The equation represents a horizontal line that crosses the y-axis at . Since the value of is always , no matter the value of , the line is parallel to the x-axis.
Steps to plot the line:
- Choose two values for . For simplicity, let's pick and .
- For both values of , the value of is always .
- When , , so the point is .
- When , , so the point is .
- Plot these two points: and .
- Draw a straight line through these two points.
The line will be horizontal, at a constant value of .
Would you like me to explain any steps further, or would you like to explore something else? Here are 5 related questions:
- What is the general form of the equation of a horizontal line?
- How can you find the slope of a horizontal line?
- What happens to the graph of when you add a number to it, like ?
- How does a vertical line differ from a horizontal line in terms of equations and graphs?
- How can you graph the equation ?
Tip: For horizontal lines, the equation will always be in the form , where is a constant.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Coordinate Geometry
Formulas
y = c (for horizontal lines)
Theorems
Properties of horizontal lines
Suitable Grade Level
Grades 7-9