Question

HELP! pleaseeee!!!!
I WILL GIVE MEDAL!
AB and BC form a right angle at point B. If A =(-3,-1) and B =(4, 4), what is the equation of BC?

Answer 1

A. x + 3y = 16

B. 2x + y = 12

C. -7x − 5y = -48

D. 7x − 5y = 48

Answer 2

I need help here this is completely confusing me... :/

Answer 3

@perl

Answer 4

all so far i did is graph
but otherwise now im lost

Answer 5

what grade r u in

Answer 6

Im in 12th grade.

Answer 7

ok then. sry i'm only in 6th. I don't know this

Answer 8

@iGreen @AnswerMyQuestions @thomaster @aaronq Please any of you guys if you could help me and lead me. I don't want a direct answer I want to understand this that way I don't have the same problem with similar questions.

Answer 9

I have no clue where C is located..

Answer 10

@iGreen @perl can you help?

Answer 11

@ajprincess @King.Void.

Answer 12

I just need an understanding of this not a direct answer

Answer 13

I know and @iGreen and @perl can help with that :)

Answer 14

@MSxSammiBooxX could probably help to

Answer 15

thanks for coming @iGreen

Answer 16

@owllover123 thank you for helping out :)

Answer 17

No problem

Answer 18

I need help now I have to finish this online test before the bell rings, I already got a similar question wrong and I don't want that. I need help

Answer 19

@iGreen can you help?

Answer 20

Im leaving in 10 minutes exact. Im just going to have to guess it by 11:16 to finish the other questions

Answer 21

Do you have a graph or image??

Answer 22

It doesnt include that
thats why Im confused

Answer 23

Ok, well we are going to graph it ourselves. Give me a few seconds to do so

Answer 24

I graphed it on my paper to visualize it

Answer 25

i got 6mins left :/

Answer 26

Well, we have these points http://prntscr.com/6rm9tk for it to be a right triangle, the other point must be located in one of these two spots

Answer 27

Hold on let me label the coordinates

Answer 28

okay

Answer 29

http://prntscr.com/6rmb4a

Ok, let's look at the C point located above the line I drew

Answer 30

okay

Answer 31

If we look at that, BC would be a straight, horizontal line, so what would the slope of that be?

Answer 32

7

Answer 33

I have a minute left :(

Answer 34

please keep explaining. If i dont pass the test I can still review this for help!@ but thaqnk you so much

Answer 35

I will resume tomorrow

Answer 36

Ah sorry I gotta go, @iGreen can you continue? I am getting my hair colored right now and my timer thing went off, so I gotta go and get this dye out

Answer 37

it is given that AB and BC meet at right angles. that means they are perpendicular to each other. Then the products of the slopes of the two lines will be equal to -1.
Let the slope of AB be \(m_1\) and the slope of BC be \(m_2\).
\(m_1*m_2=-1\).
\(m_1\) can be found using the slope formula.
It is
\[m_1=\frac{ y_2-y_1 }{ x_2-x_1}\]
where
\(m_1\)-slope
\((x_1,y_1)\) and \((x_2,y_2)\) - coordinates of the two points

Answer 38

\(m_2\) can be found by substituting the value of \(m_1\) that was found from the slope formula in \(m_1*m_2=-1\)

Answer 39

Let the equation of BC be y=mx+c
m-slope of the line.
c-intercept.
m=\(m_2\)
Substituting the value of \(m_2\) and \(x_2,y_2\) in the above equation c can be found.
i.e
\(y_2=m_2x_2+c\) .
Here, \((x_2,y_2)\) is the coordinate of B.
Then substituting the values of m_2 and c in the equation
y=mx+c will give you the required equation.

Answer 40

If you need further explanation pls feel free to ask me.:)