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# Is the slope of the line l equal to -1/5?

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Re: Is the slope of the line l equal to -1/5? [#permalink]
Luckisnoexcuse wrote:
Bunuel wrote:
Is the slope of the line l equal to -1/5?

(1) Lines m and n are parallel and sum of their slopes is less than 1/2.
(2) Line l is perpendicular to line m.

(1) Let slope be m and n for respective lines
$$m=n$$
$$m+m<1/2$$
$$m<1/4$$
not sufficient

(2) $$l*m = -1$$
not sufficient

on combining
$$m=-1/l$$
$$-1/l<1/4$$
$$1/l>1/4$$
$$0<l<4$$
Sufficient

Hence C

can u elaborate how come

−1/l<1/4
1/l>1/4

i think 1/L > -1/4
if u are multiplying with -ve on both sides

??
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Re: Is the slope of the line l equal to -1/5? [#permalink]
Ans is C:

1) insufficient as does not tell us about slope of l
2) insufficient no info about m

combining both

m= -1/L
and also m+m < 1/2
m<1/4

ie -1/L < 1/4
therefore L can take values (-infinity, -4) U (0, + infinity)

Clearly L can not take value from -4 to 0 therefore the slope can never be -1/5
Definite NO

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Re: Is the slope of the line l equal to -1/5? [#permalink]
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Re: Is the slope of the line l equal to -1/5? [#permalink]
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