In the xy-plane, the line determined by (6,m) and (m,54) passes through the origin. Which of the following could be the value of m?

Question

A) 2
B) 18
C) 36
D) 48
Is the answer B since if you plug it in, the answer is zero? Also if it is, how can you do this algebraically?

Answer 1

(0,0), (6,m), (m,54).

slope = m/6 = 54/m.
m/6 = 54/m,
m^2 = 324,
m = 18.