Which statement is true about the graphs of the two lines y = –6 and x =1/6 ?
2 answers:
Response:- The lines are perpendicular to one another as the graph of y = –6 signifies a horizontal line with an undefined slope, in contrast to the graph of x = 1/6 which is a vertical line with a slope of 0.
Explanation:-
The x-axis is represented by the horizontal line y=0, having a slope of 0
The y-axis denotes a horizontal line defined by x=0, possessing an undefined slope.
y=-6 is a horizontal line parallel to the x-axis.
Hence, its slope is 0. [parallel lines maintain identical slopes]
x=1/6 is a vertical line that runs parallel to the y-axis.
Thus, its slope is undefined. [the slopes of parallel lines are equal]
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