A line in the xy-plane passes through the origin and has a slope of 1/8. Which of the following points lies on the line?
A) (0, 8)
B) (1, 8)
C) (8, 8)
D) (16, 2)
Choice D is correct.
Since any line in the xy-plane passing through the origin can be expressed in the form y = mx, where m is the slope of the line.
Therefore, the equation of the line is y = (1/8) x, which is the same as x = 8y.
Clearly, only choice D (16, 2) satisfies the condition as 16 = (8) (2).