Question line-i
Line 
in the xy-plane is perpendicular to the line with equation 
. What is the slope of line ?
0
The slope of line is undefined.
Line in the xy -plane is perpendicular to the line with equation . What is the
Hard-difficulty · SAT Math · Linear Functions — Parallel/perpendicular line relationships. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer explanation
Choice A is correct. It is given that line is perpendicular to a line whose equation is x = 2. A line whose equation is a constant value of x is vertical, so must therefore be horizontal. Horizontal lines have a slope of 0, so has a slope of 0.
Choice B is incorrect. A line with slope is perpendicular to a line with slope 2. However, the line with equation x = 2 is vertical and has undefined slope (not slope of 2). Choice C is incorrect. A line with slope –2 is perpendicular to a line with slope 
. However, the line with equation x = 2 has undefined slope (not slope of ). Choice D is incorrect; this is the slope of the line x = 2 itself, not the slope of a line perpendicular to it.
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