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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

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@SmokeysTheName, Right here!
ohhh man, remember i said i couldn't help? but here @phi might be able to
Oh, oops! Sorry about that.... :)

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Other answers:

thats fine (:
@hero can you help with this?
Pretty easy stuff @SmokeysTheName
its been forever since ive done this and i can't remember /: so can you help him?
Hint: m1 x m2 = -1
Umm.... I not really sure.. :|
m1 = -3 So m2 has to be a number such that when multiplied by m1, their product is -1.
Then 1 x -1 = -1
m1 = -3 Multiply -3 by something to get -1
I have no clue..... :|
is that even possible @hero?
-3 x 1/3 = -1
Yes, it is possible.
So that's basically the slope of the second equation.
oh yeah xD lol i dont like fractions so i didnt think of it. my bad okay ill stay out of this..
Oh, why is math so hard for me to understand?!
So now, you have the slope and the point. Use the point slope formula to figure out the value of b.
  • phi
sometimes it helps to watch these videos
phi is right, khan acad vids are great to watch
@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
at the very end he does a problem like yours.
Oh, my video sever crashed after the second equation.
  • 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
I will start it back up again, but it will take 2 min.
I tried to solve it (I think I did it wrong) and is it C?
  • 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 ?
  • phi
do you see a number in front of the x ?
So is the answer B?
  • 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
from the video, you learned that parallel lines have what kind of slope ?
The same slope
  • phi
look at your 4 choices. which choices have the correct slope of -3 for the parallel line ?
Well it's A or B....... I think it's B
  • 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 ?
\[\frac{ 3 }{ 1 }?\]
Or\[\frac{ 1 }{ 3 }?\]
  • 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"
  • 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 ?
We can rule out A, right?
  • phi
for choice A, what is the number in front of the x for the perpendicular line ?
  • phi
that is the parallel line
  • phi
A. parallel: y = −3x + 6 perpendicular: y = (1/3)x + 2(2/3)
So we rule out B?
  • phi
B. parallel: y = −3x + 10 perpendicular: y = (1/3)x what is the slope for the perpendicular line ?
  • 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
replace x with 3 that means wherever you see an x, put a 3 in its place.
okay give me a min.
y = (1/3)3
  • 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 ?
y = 1
  • phi
so (3,1) is on this line. this is the choice
  • 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
  • phi
what about the +10 ?
  • 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 ?
How many more questions can you help me with?
  • phi
how many do you have ?
Three, but I'm really bad at math.
  • phi
did you post them yet ?
I posted one of them in algebra

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