srikanth9502 wrote:
Lines L and M intersect at (-2,-2). Is the Value of X- intercept of L greater than that of M?
1) Slope of L is greater than that of M.
2) Slope of L is positive.
Source :
Experts GlobalGiven: Lines L and M intersect at (-2,-2).
Asked: Is the Value of X- intercept of L greater than that of M?
Let Line L be: y+2 = m1 (x+2) = m1x + 2m1; y = m1x + 2m1 -2 (1)
Let Line M be: y+2 = m2 (x+2) = m2x + 2m2; y = m2x + 2m2 -2 (2)
x - intercept of line L : y = 0 = m1x + 2m1 -2 ; x = 2(1-m1)/m1 = 2(1/m1 -1)
x - intercept of line M: y = 0 = m2x + 2m2 -2; x = 2(1-m2)/m2 = 2(1/m2 -1)
1) Slope of L is greater than that of M.
m1 > m2
Since signs of m1 & m2 are unknown
NOT SUFFICIENT
2) Slope of L is positive.
m1>0
Since there is no information about m2.
NOT SUFFICIENT
(1) + (2)
1) Slope of L is greater than that of M.
m1 > m2
Since signs of m1 & m2 are unknown
2) Slope of L is positive.
m1>0
Since sign of m2 is unknown
NOT SUFFICIENT
IMO E
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