varun289 wrote:240. In the coordinate plane, points (x, 1) and (10, y) are on line k. If line k passes through the origin and has slope 1/2, then x + y =
(A) 4.5
(B) 7
(C) 8
(D) 11
(E) 12
my ans - is 11 , but what should real ans ?
The slope of line k is 1/2.
Since the line passes through the origin, the y-intercept is 0.
Thus, the equation of line k is:
y = (1/2)x.
Implication:
For every point on the line, the y-value is 1/2 the x-value.
Thus:
In (x,1), since 1 must be 1/2 the x-value, x=2.
In (10,y), since the y-value must be 1/2 of 10, y=5.
Thus:
x+y = 2+5 =7.
The correct answer is
B.
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