Ask your own question, for FREE!
Mathematics 19 Online
OpenStudy (pixiedust1):

=

OpenStudy (pixiedust1):

@phi

OpenStudy (pixiedust1):

@Loser66 @cwrw238

OpenStudy (loser66):

Post the problem first, friend

OpenStudy (pixiedust1):

The "perpendicular" idea got me all confused

OpenStudy (phi):

First what is the slope of 2y = 3x - 1 (you have to put it into y = mx + b form, to find the slope (the m) )

OpenStudy (pixiedust1):

Okay so to get rid of the "2" next to the y, we do y=2/3-1

OpenStudy (loser66):

yup

OpenStudy (pixiedust1):

Oh and 2/3 is like -2/3!

OpenStudy (phi):

to get the perpendicular, flip and multiply by -1

OpenStudy (pixiedust1):

Oh! So flipping 2/3 is 3/2 3/2*-1=-1.5

OpenStudy (phi):

you started with 2y = 3x - 1 Then *** Okay so to get rid of the "2" next to the y, we do y=⅔ x -1 *** the slope of the original line is ⅔ you flip and multiply ⅔ by -1 so 3/2 * -1 so it looks like you got it.

OpenStudy (pixiedust1):

Is -1.5 one of my answer options though?

OpenStudy (phi):

although you should be more careful. when you start with 2y = 3x - 1 you divide both sides by 2: y = 3/2 x - ½ (notice you divide the -1 also)... it does not affect your answer, but you do want to do this correctly and not get into bad habits.

OpenStudy (pixiedust1):

Oh okay! So, the end answer was -3?

OpenStudy (phi):

oh wait. 2y = 3x - 1 you divide both sides by 2: y = 3/2 x - ½ so the slope was 3/2 we flip 3/2 and multiply by -1 to get -⅔

OpenStudy (pixiedust1):

Oh!!! That makes more sense to me! I was wondering how the answer turned negative. Thank you!

OpenStudy (phi):

I just learned to never trust a pixie.

OpenStudy (pixiedust1):

lol :D

OpenStudy (pixiedust1):

that's a good lesson to learn lol :D xD

OpenStudy (pixiedust1):

Would you mind checking a few questions I did?

OpenStudy (anonymous):

What are they?

OpenStudy (pixiedust1):

The graph of a function must pass the ______________ line test. I said vertical

OpenStudy (phi):

yes

OpenStudy (anonymous):

That is good.It's vertical line test for functions because for each x, there can only be one y.

OpenStudy (phi):

It sounds like you know this. that is correct.

OpenStudy (phi):

f(-3) = -3*-3 + -3

OpenStudy (pixiedust1):

Oh I see so we have to plug in the -3 to all the x's?

OpenStudy (phi):

yes, and then you simplify

OpenStudy (pixiedust1):

Oh!!! That would be 6! That helps me on another problem too!! Thanks! :D

OpenStudy (phi):

if you write it -3^2 you would get -9. But what you should *really* write is (-3)^2 which means -3* -3, and you get +9

OpenStudy (pixiedust1):

I feel like a bother

OpenStudy (phi):

slope is change in y divided by change in x if the "change in x" is 0, you end up with (change in y)/0 and we are not allowed to divide by 0. So instead we say, slope is undefined. if you plot a line where the x value stays the same, and y changes (this is when you get undefined slope), the line goes up/down. it will have a constant x (which we show by saying x = whatever # it is)

OpenStudy (pixiedust1):

Okay! So the x value in my problem is 4. So the 4 won't change. The only thing that's gonna change is the y=7?

OpenStudy (phi):

Write the equation of the line so all you say is x=4 that is the equation of a line that goes straight up/down, with x always 4 y=7 is also the equation of a line... you could think of it as y = 0x +7 a line with 0 slope, and a y-intercept of 7. It goes horizontal, with y always 7

OpenStudy (pixiedust1):

So since the slope can only go up and down (in this question), we just focus on the x, which equals 4?

OpenStudy (phi):

I would say because the slope is undefined we just focus on the x, which equals 4 which a long-winded way to say a vertical line has the equation x= some # (4 in this case)

OpenStudy (pixiedust1):

Okay!! So I'm putting x=4 as my answer for that one! Thank you so much for your help! I may have another question later, but that's it for now :)

OpenStudy (the_fizicx99):

Yeah its 0

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!