Question

Let v=(1, -3) and w=(-2, 6). Which of the following is true? Check all that apply.

Answer 1

Hi! Okay so the way you solve this problem is first identifying the x and y coordinates in each pair.

I'll do that for you: 1 is x and -3 is y in the pair (1,-3) and in the second pair (-2,6) -2 is x and 6 is y.

Do you understand so far @KJ4UTS?

Answer 2

@AMYCARTER yes

Answer 3

Okay cool! Let's analyze the first option: \[w = -2v\]

Now we know that the w coordinates are (1,-3) and the v coordinates are (-2,6).

Let's substitute each value for each variable in the equation and see if it's true.

First let's use the x coordinates:
\[-2 = -2 \times 1\]

Is this a true statement @KJ4UTS?

Answer 4

yes

Answer 5

Correct! Now let's substitute the y values instead:

\[6 = -2 \times -3\]

Is this a true statement @KJ4UTS?

Answer 6

yes 6=−2x−3 I guess x would have to be 1 in you plugged a number in x

Answer 7

Yep! So A would be one of the answers right? Do you still need help with the other ones @KJ4UTS?

Answer 8

@AMYCARTER Yeah and would D. be a answer isn't y of w=6?

Answer 9

Yes! You're correct great job @KJ4UTS! So do you have your answer?

Answer 10

@AMYCARTER So both A. and D. right?

Answer 11

@AMYCARTER Thank you for spending all this time with me explaining this to me fully. I really appreciate it you are a great person for helping people!

Answer 12

No problem @KJ4UTS! I love to help! And yes your choices are A and D but did you try out choice C? You should always make sure just in case :)