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?

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How do you solve this without just plugging in numbers?

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Answer 1 · 2018-07-26T07:17:16

#k=0#

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!