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Which statement is true about the graphs of the two lines y = –6 and x = 1/6 ?

A. The lines are perpendicular to each other because the graph of y = –6 is a horizontal line with a slope that is undefined, and the graph of x = is a vertical line with a slope of 0.
B. The lines are perpendicular to each other because the graph of y = –6 is a vertical line with a slope that is undefined, and the graph of x = is a horizontal line with a slope of 0.
C. The lines are perpendicular to each other because the graph of y = –6 is a vertical line with a slope of 0, and the graph of x = is a horizontal line with a slope that is undefined.
D. The lines are perpendicular to each other because the graph of y = –6 is a horizontal line with a slope of 0, and the graph of x = is a vertical line with a slope that is undefined.

2 Answers

5 votes

Answer:

d :)

Explanation:

User Abhiram Mishra
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8.6k points
2 votes
Right answer: D

1. Lines with the form y=c, where c is a constant, like y=2, y=-3, y=21,7 ... etc are all lines parallel to the x-axis, so they are horizontal lines.

Horizontal lines have 0 inclination, so slope=0

2. Lines of the form x=c, where c is a constant, like x=5,4 , x= 7 etc are lines parallel to the y-axis, so they are vertical lines.

Vertical lines are lines with undefined slope
User Herman Tran
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8.8k points

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