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?

Comment pouvons-nous vous aider ?

Youngsun Lee

6 mars 2019 03:11

Here's the 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?

In part of the explanation, it says that since each expression gives the slope of the same line, it must be true that k/2=32/k.

I do not get which expression they're talking and where they got the k/2 from.

Nouvelle publication

3 commentaires

Regina Litman

6 mars 2019 20:08
0

Actions pour les commentaires Permalien
Was this a multiple choice question? If so, please supply the possible values. Otherwise, I can't get to the k/2=32/k result.
Edward Killheffer

10 mars 2019 11:52
2

Actions pour les commentaires Permalien
By saying the line goes through each point and the origin, you can find the slope between each point and the origin using the slope formula or difference in the y's divided by the difference in the x's, you can write the slope between each point and the origin (0,0) and since they are all on the same line, you can set the slopes equal to each other. So you have

(k-0)/(2-0) = (32-0)/(k-0) or k/2=32/k
Regina Litman

11 mars 2019 02:50
0

Actions pour les commentaires Permalien
@Edward Killheffer, thank you for your answer! I had overlooked in the original post that the line passes through the origin.

Vous devez vous connecter pour laisser un commentaire.

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?

Ce n’est pas ce que vous cherchez ?

3 commentaires

Ce n’est pas ce que vous cherchez ?