In the xy-plane, the line determined by the points (2,k) and (k,32) passes through the origin. What could be the value of k?

How do you solve this without just plugging in numbers?

1 Answer
Jul 26, 2018

k=0

Explanation:

If a line passes through origin, that means the x-intercept and y-intercept are ZERO.

So we have something like this:

(0,y) ----> x-intercept

(x,0) ----> y-intercept

So we are given:

(2,k) ----> that means k=0

(k,32) -----> that means k=0

This makes the two pints as:

(2,0) and (0,32)

Hope this helps!