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If perpendicular lines m and n intersect

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by NandishSS » Wed Aug 31, 2016 6:56 am
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

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OA:C
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Source: — Data Sufficiency |
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by GMATGuruNY » Wed Aug 31, 2016 7:47 am
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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