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)

Solution:

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).