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09 Jul 2018, 07:22
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
67% (02:22) correct
33%
(02:37)
wrong
based on 309
sessions
History
Date
Time
Result
Not Attempted Yet
If line k passes through the points (48, 33) and (31, 22), what is the x-intercept of line k?
A) -25 10/11
B) -3
C) -1 16/17
D) 1 16/17
E) 25 10/11
*kudos for all correct solutions
A) -25 10/11
B) -3
C) -1 16/17
D) 1 16/17
E) 25 10/11
*kudos for all correct solutions
09 Jul 2018, 07:56
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Since y-coordinate is 0 at which the line intercepts x-axis. Let (a,0) be the point where the the line meets x-axis.
Since (48,33), (31,22), (a,0) all lie on the same line, the slope calculated using any two of these points is equal
=> \(\frac{(33-22)}{(48-31)} = \frac{(22-0)}{(31-a)}\)
=> \(\frac{11}{17} = \frac{22}{(31-a)}\)
=> \(11 * (31-a) = 22 * 17\)
=> \(31 - a = 34\)
=> \(a = -3\)
Hence option B
Since (48,33), (31,22), (a,0) all lie on the same line, the slope calculated using any two of these points is equal
=> \(\frac{(33-22)}{(48-31)} = \frac{(22-0)}{(31-a)}\)
=> \(\frac{11}{17} = \frac{22}{(31-a)}\)
=> \(11 * (31-a) = 22 * 17\)
=> \(31 - a = 34\)
=> \(a = -3\)
Hence option B
09 Jul 2018, 07:50
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If line passes through (31,22) and (48,33), it means that for every increase of 17 of x (48-31), y will increase by 11 (33-22). We want to know the value of x when y is zero so let's decrease y by 11 at a time, which will decrease x by 17 at a time. This means the line will pass through:
(31-17, 22-11) which is (14,11)
and
(14-17,11-11) which is (-3,0).
Answer is B
(31-17, 22-11) which is (14,11)
and
(14-17,11-11) which is (-3,0).
Answer is B
