The function \( y = 1 \) is an equation of a:
Show Hint
- point
- line with a slope of 0
- line with a slope of infinity
- line with a slope of 1 passing through (1,1)
The Correct Option is B
Solution and Explanation
Step 1: Analyzing the equation.
The equation \( y = 1 \) represents a horizontal line where the value of \( y \) is constantly 1 for all \( x \). A horizontal line has a slope of 0.
Step 2: Analyzing the options.
- (A) point: Incorrect. A point does not represent an equation of the form \( y = 1 \).
- (B) line with a slope of 0: Correct. The equation represents a horizontal line, which has a slope of 0.
- (C) line with a slope of infinity: Incorrect. The equation \( y = 1 \) is horizontal, not vertical.
- (D) line with a slope of 1 passing through (1,1): Incorrect. The equation \( y = 1 \) does not pass through (1,1), and its slope is not 1.
Step 3: Conclusion.
The correct answer is (B) as \( y = 1 \) represents a horizontal line with a slope of 0.
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