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24 Mar 2020, 08:10
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B
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80% (01:15) correct
20%
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based on 110
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In the xy-coordinate system, if (m, n) and (m + 2, n + k) are two points on the line with the equation x = 2y + 5, then k =
A. 1/2
B. 1
C. 2
D. 5/2
E. 4
A. 1/2
B. 1
C. 2
D. 5/2
E. 4
24 Mar 2020, 08:17
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Bunuel
In the xy-coordinate system, if (m, n) and (m + 2, n + k) are two points on the line with the equation x = 2y + 5, then k =
A. 1/2
B. 1
C. 2
D. 5/2
E. 4
A. 1/2
B. 1
C. 2
D. 5/2
E. 4
Asked: In the xy-coordinate system, if (m, n) and (m + 2, n + k) are two points on the line with the equation x = 2y + 5, then k =
m = 2n + 5 (1)
m+2 = 2(n+k) + 5 (2)
(2) - (1)
2 = 2k
k = 1
IMO B
26 Mar 2020, 06:33
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Bunuel
In the xy-coordinate system, if (m, n) and (m + 2, n + k) are two points on the line with the equation x = 2y + 5, then k =
A. 1/2
B. 1
C. 2
D. 5/2
E. 4
A. 1/2
B. 1
C. 2
D. 5/2
E. 4
First, notice that the given linear equation is not in standard y = mx + b form because the x and y variables have been interchanged in x = my + b. With that said, we can create the following equations:
m = 2n + 5
and
m + 2 = 2(n + k) + 5
m + 2 = 2n + 2k
Substituting, we have:
2n + 5 + 2 = 2n + 2k + 5
2 = 2k
1 = k
Answer: B
