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29 Aug 2018, 01:27
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
89% (00:48) correct
11%
(00:27)
wrong
based on 80
sessions
History
Date
Time
Result
Not Attempted Yet
What is the slope of line l?
(1) Line l and line m are perpendicular.
(2) Line m has y–intercept 6 and passes through the point (–3, 5).
(1) Line l and line m are perpendicular.
(2) Line m has y–intercept 6 and passes through the point (–3, 5).
29 Aug 2018, 01:42
Kudos
Bookmarks
Bunuel
(1) Line l and line m are perpendicular.
the two lines can have any orientation
insufficient.
(2) Line m has y–intercept 6 and passes through the point (–3, 5).
point slope form of the line is given by y =mx+c
substituting the value
5=m(-3) + 6
m=1/3
insufficient
using both
we know that for two perpendicular lines m1*m2=-1
where m1 and m2 are respective slopes
substituting the value we can get the value of m2
sufficient.
C
29 Aug 2018, 02:40
Kudos
Bookmarks
Hi,
It’s a pretty straight-forward question.
Question: What is the slope of line l ?
Rule: If two lines are perpendicular to each other, then the product of their slopes are equal to -1.
Statement I is insufficient:
Line l and line m are perpendicular.
According to the above rule, we know that product of the slopes of lines m and l is equal to -1
But we don’t know the slope of both the lines. So we cant find the slope of line l.
So statement I is insufficient.
Statement II is insufficient:
Line m has y–intercept 6, i.e., (0,6) and passes through the point (–3, 5).
Given two points, we can find the slope of line m. (No need to find the final value as long as we are clear that there is will be only one value).
But question is about slope of line l.
So insufficient.
Together it is sufficient,
We can find the slope of line l, as line “m” and line “l” are perpendicular to each other and slope of “m” is given in statement II.
So the answer is C.
It’s a pretty straight-forward question.
Question: What is the slope of line l ?
Rule: If two lines are perpendicular to each other, then the product of their slopes are equal to -1.
Statement I is insufficient:
Line l and line m are perpendicular.
According to the above rule, we know that product of the slopes of lines m and l is equal to -1
But we don’t know the slope of both the lines. So we cant find the slope of line l.
So statement I is insufficient.
Statement II is insufficient:
Line m has y–intercept 6, i.e., (0,6) and passes through the point (–3, 5).
Given two points, we can find the slope of line m. (No need to find the final value as long as we are clear that there is will be only one value).
But question is about slope of line l.
So insufficient.
Together it is sufficient,
We can find the slope of line l, as line “m” and line “l” are perpendicular to each other and slope of “m” is given in statement II.
So the answer is C.
