Consider the graph of the equation y = 5. Which statements are true? Check all that apply. The graph of y = 5 is a vertical line.The graph of y = 5 is a horizontal line.The graph of y = 5 is neither a vertical line nor a horizontal line.The point (5, 3) lies on the line.The point (–4, 5) lies on the line.
Answer
A
The graph of y = 5 is a vertical line.
B
The graph of y = 5 is a horizontal line.
C
The graph of y = 5 is neither a vertical line nor a horizontal line.
D
The point (5, 3) lies on the line.
E
The point (–4, 5) lies on the line.
Explanation
The equation y = 5 means the y-coordinate is always 5, while x can be any value. Its graph is therefore a horizontal line. The point (5, 3) is not on it because its y-coordinate is 3, but (–4, 5) is on it because its y-coordinate is 5.
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