Question

In the xy-plane, the line determined by the points (2,k) and (k, 32) passes through the origin. Which of the following could be the value of k ? A) 0 B) 4 C) 8 D) 16

Answer 1

1) Considering that those points (2,k) and (k,32) determines one same line, within the plane. Therefore we can say that

2) Considering that since they pass through the origin then their x -coordinate is equal to zero, and their y coordinate as well so

3) We can state that as a matter of fact (2, k) and (K, 32) can be rewritten as (2,0) and (0,32)

k=0