Line in the xy -plane is perpendicular to the line with equation . What is the slope of line ?

Question

Accepted Answer

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.

Question line-i