Coordinate Geom from GPREP

[zagcollins]

In xy-coordinate plane, the slope of line l is 3/4.Does line l pass through point (-2/3,1/2)?

1)line l passes through (-4,4)
2)line l passes through (-4,-2)

[gmattester]

What is the answer.According to me it should be 'D'

[pranavc]

I am going with D.

[bha]

Can you guys please explain how u have arrived at 'D'

[sibbineni]

IMO B

[Vignesh.4384]

I think it should be D too

[raunekk]

i think it shud b "D"


for 1st we get "no" as an answer

for 2nd we get "yes" as answer.

[mals24]

IMO D

(y - y1)= m(x - x1) where m = slope, and (x1,y1) is the coordinate:

Question: m=3/4, (-2/3, 1/2)
y - 1/2 = 3/4 * (x - (-2/3))
y - 1/2 = 3x/4 + 1/2
y = 3x/4 + 1 {This is the base equation to check on (1) and (2)

St (1). Line pass (-4,4)
let x = -4; substitute it in the equation to check if y = 4
y = 3(-4)/4 + 1 = -3+1 = -2 False. Therefore (1) SUFF.

St (2). Line pass (-4,-2)
let x = -4; y = 3(-4)/4 + 1= -3 + 1 = -2 True, Therefor (2) SUFF

Also can you check if the St 1 says (4,4) or (-4,4) because i came across this question before and st 1 had co-ords (4,4). In any case the answer is D.

[zagcollins]

the data in the sum is correct...no chgs reqd...

[pepeprepa]

I agree with D)
1) gives us false
2) gives us true

Don't you find it strange the 2 sentences are contradictory?
I think that it is a rule in DS that there is only one solution to the question.