NandishSS wrote:If perpendicular lines m and n intersect at (0,b) in the standard (x,y) plane, what is the value of b?
(1) The slope of the line m is -1/2
(2) The point (-1,0) is on the line n
What is the y-intercept of lines m and n?
Statement 1:
Since the slopes of perpendicular lines are negative reciprocals, the slope of line n = 2.
Here, the y-intercept can be any value.
INSUFFICIENT.
Statement 2:
Here, the y-intercept can be any value.
INSUFFICIENT.
Statements combined:
Since we know the slope of line n and a point on line n, we can determine the equation of line n.
Thus, the value of its y-intercept can be determined.
SUFFICIENT.
The correct answer is
C.
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