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OG-12.94

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OG-12.94

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If Line K in th xy-plane has equation y=mx+b, where m and b are constants, what is the slope of k?
1) K is parallel to the line with equation y = (1-m)x + b + 1
2) K intersects the line with equation y=2x+3 at the point (2,7))
OA A. Though I understood why B is insufficient, will option B be sufficient if the question is reworded that K and y=2x+3 are perpendicular (and hence we know from K's slope the relation m1*m2=-1).
Also, which other additional/new info will make B sufficient. Thx

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From 1 we have m = 1-m hence m = 1/2 So 1 is sufficient.

From 2 we have mx+b = 2x+3 i.e 2m +b = 7, we have only this equation, so 2 is not sufficient.

Hence Answer should be A

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Quote:
if the question is reworded that K and y=2x+3 are perpendicular (and hence we know from K's slope the relation m1*m2=-1).
Also, which other additional/new info will make B sufficient.
you are right, had it been given that the line is perpendicular to y=2x+3, then even statement 2 would have been sufficient.
Statement 2 would also have been sufficient if one point on line K was also given.

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