GmatKiss wrote:In the xy-coordinate system, if (a,b) and (a + 3,b + k)
are two points on the line defined by the equation
x = 3y - 7, then k =
9
3
7/3
1
1/3
The equation of the line rephrased as
y = mx+b:
3y-7 = x
3y = x+7
y = (1/3)x + 7/3.
Slope = 1/3.
Since (a,b) and (a+3,b+k) are two points on the line, and
slope = (change in y/change in x), we get:
(b+k-b)/(a+3-a) = 1/3.
k/3 = 1/3.
k=1.
The correct answer is
D.
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