RealityWillSlapYou
  • RealityWillSlapYou
Select the equations that are parallel and perpendicular to y = −3x − 1 and that pass through the point (3, 1). A. parallel: y = −3x + 6 perpendicular: y = (1/3)x + 2(2/3) B. parallel: y = −3x + 10 perpendicular: y = (1/3)x C. parallel: y = -(1/3)x perpendicular: y = −3x D. parallel: y = (1/3)x + 1 perpendicular: y = 3x − 1
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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RealityWillSlapYou
  • RealityWillSlapYou
@SmokeysTheName, Right here!
SmokeysTheName
  • SmokeysTheName
ohhh man, remember i said i couldn't help? but here @phi might be able to
RealityWillSlapYou
  • RealityWillSlapYou
Oh, oops! Sorry about that.... :)

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More answers

SmokeysTheName
  • SmokeysTheName
thats fine (:
SmokeysTheName
  • SmokeysTheName
@hero can you help with this?
Hero
  • Hero
Pretty easy stuff @SmokeysTheName
SmokeysTheName
  • SmokeysTheName
its been forever since ive done this and i can't remember /: so can you help him?
Hero
  • Hero
Hint: m1 x m2 = -1
RealityWillSlapYou
  • RealityWillSlapYou
Umm.... I not really sure.. :|
Hero
  • Hero
m1 = -3 So m2 has to be a number such that when multiplied by m1, their product is -1.
RealityWillSlapYou
  • RealityWillSlapYou
-1?
RealityWillSlapYou
  • RealityWillSlapYou
Then 1 x -1 = -1
RealityWillSlapYou
  • RealityWillSlapYou
Right?
Hero
  • Hero
m1 = -3 Multiply -3 by something to get -1
RealityWillSlapYou
  • RealityWillSlapYou
I have no clue..... :|
SmokeysTheName
  • SmokeysTheName
is that even possible @hero?
Hero
  • Hero
-3 x 1/3 = -1
Hero
  • Hero
Yes, it is possible.
Hero
  • Hero
So that's basically the slope of the second equation.
SmokeysTheName
  • SmokeysTheName
oh yeah xD lol i dont like fractions so i didnt think of it. my bad okay ill stay out of this..
RealityWillSlapYou
  • RealityWillSlapYou
Oh, why is math so hard for me to understand?!
Hero
  • Hero
So now, you have the slope and the point. Use the point slope formula to figure out the value of b.
RealityWillSlapYou
  • RealityWillSlapYou
Y U NO WORK FOR ME MATH?! (ノಠ益ಠ)ノ
phi
  • phi
sometimes it helps to watch these videos http://www.khanacademy.org/math/trigonometry/graphs/parallel_perpendicular/v/equations-of-parallel-and-perpendicular-lines
SmokeysTheName
  • SmokeysTheName
phi is right, khan acad vids are great to watch
RealityWillSlapYou
  • RealityWillSlapYou
@phi, in the video he was using two points and my question only has one point so how can I solve it the same way?
phi
  • phi
at the very end he does a problem like yours.
RealityWillSlapYou
  • RealityWillSlapYou
Oh, my video sever crashed after the second equation.
phi
  • phi
but this video assumes you know about slopes and equations of lines (he has videos on all of that) for you problem, you should know that when you see y = mx +b m is the slope. the number multiplying the x is the slope
RealityWillSlapYou
  • RealityWillSlapYou
I will start it back up again, but it will take 2 min.
RealityWillSlapYou
  • RealityWillSlapYou
I tried to solve it (I think I did it wrong) and is it C?
phi
  • phi
for you problem, you should know that when you see y = mx +b m is the slope. the number multiplying the x is the slope so what is the slope of your line y = −3x − 1 ?
RealityWillSlapYou
  • RealityWillSlapYou
-3?
phi
  • phi
do you see a number in front of the x ?
RealityWillSlapYou
  • RealityWillSlapYou
So is the answer B?
phi
  • phi
yes, -3 is the slope (that is why people came up with this kind of equation, you can read off the slope easily)
phi
  • phi
from the video, you learned that parallel lines have what kind of slope ?
RealityWillSlapYou
  • RealityWillSlapYou
The same slope
phi
  • phi
look at your 4 choices. which choices have the correct slope of -3 for the parallel line ?
RealityWillSlapYou
  • RealityWillSlapYou
Well it's A or B....... I think it's B
phi
  • phi
no need to guess. now for the perpendicular line. Its slope is the negative inverse (or negative reciprocal) that means "flip" the slope and multiply by -1. For example if you had slope =2 \[ \frac{2}{1} ->- \frac{1}{2}\] can you do that for -3 ?
RealityWillSlapYou
  • RealityWillSlapYou
\[\frac{ 3 }{ 1 }?\]
RealityWillSlapYou
  • RealityWillSlapYou
Or\[\frac{ 1 }{ 3 }?\]
phi
  • phi
3/1 is 3 start with -3 or -3/1 minus it : - -3/1 is +3/1 now flip it : 1/3 you know you did it right if it is the opposite sign of -3, and it's "upside down"
RealityWillSlapYou
  • RealityWillSlapYou
Okay
phi
  • phi
the slope of the perpendicular is 1/3 look at choices A or B. can we rule out either choice because it does not have 1/3 for the slope of the perpendicular line ?
RealityWillSlapYou
  • RealityWillSlapYou
We can rule out A, right?
phi
  • phi
for choice A, what is the number in front of the x for the perpendicular line ?
RealityWillSlapYou
  • RealityWillSlapYou
-3
phi
  • phi
that is the parallel line
phi
  • phi
A. parallel: y = −3x + 6 perpendicular: y = (1/3)x + 2(2/3)
RealityWillSlapYou
  • RealityWillSlapYou
So we rule out B?
phi
  • phi
B. parallel: y = −3x + 10 perpendicular: y = (1/3)x what is the slope for the perpendicular line ?
RealityWillSlapYou
  • RealityWillSlapYou
1/3
phi
  • phi
so both A and B pass. we have to use the last bit of info pass through the point (3, 1) that says that when x=3 y must = 1 test choice B, perpendicular (because it looks the easiest) y = (1/3)x replace x with 3 and do the arithmetic what do you get ?
phi
  • phi
replace x with 3 that means wherever you see an x, put a 3 in its place.
RealityWillSlapYou
  • RealityWillSlapYou
okay give me a min.
RealityWillSlapYou
  • RealityWillSlapYou
y = (1/3)3
RealityWillSlapYou
  • RealityWillSlapYou
??
phi
  • phi
yes, \[y= \frac{1}{3} \cdot 3 \] you can think of the 3 as 3/1 or \[y= \frac{1}{3} \cdot \frac{3}{1} \] when you multiply fractions, multiply top times top and bottom times bottom you get \[y= \frac{3}{3} \] can you simplify this ?
RealityWillSlapYou
  • RealityWillSlapYou
y = 1
phi
  • phi
so (3,1) is on this line. this is the choice
phi
  • phi
if we put x=3 in choice A, we will not get y=1 btw, we should check the parallel line can you do that ? parallel: y = −3x + 10 what do you get if you replace x with 3
RealityWillSlapYou
  • RealityWillSlapYou
-9
phi
  • phi
what about the +10 ?
RealityWillSlapYou
  • RealityWillSlapYou
1
phi
  • phi
y = −3x + 10 if this does not give you y=1 when x=3 then it is not the line. But it does give y=1 so choice B. Does any of this make sense ?
RealityWillSlapYou
  • RealityWillSlapYou
Yeah....
RealityWillSlapYou
  • RealityWillSlapYou
How many more questions can you help me with?
phi
  • phi
how many do you have ?
RealityWillSlapYou
  • RealityWillSlapYou
Three, but I'm really bad at math.
phi
  • phi
did you post them yet ?
RealityWillSlapYou
  • RealityWillSlapYou
I posted one of them in algebra

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