Question

WILL MEDAL AND FAN!!
What is the solution to the system?
line 1
x.y
-1.9
3.-3

line 2
x.y
-1.-1
2.5

(___,___)
plz and thank you
also, I never was goodat these. >.<

Answer 1

@MSxSammiBooxX

Answer 2

Ah my account is acting up. Let @ganeshie8 or @mathmate help while I go through this again

Answer 3

So sorry! I can't see your question it is just blank

Answer 4

ok. thanks thow. :) I can message it to ya thow

Answer 5

if u don't mind

Answer 6

@Joel_the_boss

Answer 7

@Jhannybean @TuringTest @pooja195 Maybe they can help. :)

Im history wiz only :) @Jaynator495

Answer 8

ok thx. :) im a science nerd math is my enemy lol @Joel_the_boss

Answer 9

hey there welcome to openstudy!

Answer 10

thx @pooja195 could u help me?

Answer 11

well first off what do u think?

Answer 12

tbh idk

Answer 13

ok well u know to substitue for 0 everytime u find X and Y right?

Answer 14

yes

Answer 15

so for -1,9 say u substitue for X what would your Y be?

Answer 16

Back! I am so so so sorry! Thanks Pooja :P I will let her finish off :) I PMed you back science, did you get it?

Answer 17

no I haven't @MSxSammiBooxX

Answer 18

Hmm, OK. Then I will let Pooja continue

Answer 19

its fine :) ok so what would your Y be?

Answer 20

y would be 3,-3?

Answer 21

@pooja195

Answer 22

where did u get that from?

Answer 23

the line 1

Answer 24

So you have two lines,
L1: A(-1,9), B(3,-3), and
L2: C(-1,-1), D(2,5)
Are the numbers good?

Answer 25

yes

Answer 26

So we know the answer is expected at about (2,3).

Answer 27

Do you know how to find the slope between two given points?

Answer 28

substute x y to find the slope

Answer 29

Yes, but this way:
Slope (m) between two points \(R(x_1,y_1)\) and \(S(x_2,y_2)\)
\(\Large m=\frac{y_2-y_1}{x_2-x_1}\)

Answer 30

We have two lines, and we need the intersection of L1 and L2

Answer 31

would L1 be 4/1 n L2 be 3/1?

Answer 32

I have m1=(9--3)/(-1-3)=-3
can you work out m2? I don't have 3/1, remember (5--1) /(2--1)=6/3

Answer 33

@sciencenerdz11
Still there? or gone to bed?

Answer 34

sorry im thinkin n workin it out on paper

Answer 35

l2 x=-1/2 y=-1/5

Answer 36

im ganna have to go and I cant re enter this so plz help me fast

Answer 37

bye thx for the help btw

Answer 38

Well, the slopes for the two lines L1 and L2 are -3 and 2 (according to me, as worked out above). Let's call them m1 and m2.

Answer 39

You will need to do the following steps:
1. Find the lines L1 and L2 in the form
y=m1(x)+b1
y=m2(x)+b2
Details to follow.
2. Find the intersection by solving the above system of 2 linear equations.
You can solve by substitution, comparison, or by elimination.

Answer 40

To find the equations of L1 and L2, you use the slope m (m1 or m2) and a point (A or C) and following steps:

[sorry I was away for a little while]
Point-slope form of equation of a line

\(\color{teal}{m} \)= slope
\((\color{blue}{x_0},\color{purple}{y_0})\) = given point

Equation of line \(\boxed{\color{red}{L: y-\color{purple}{y_0} = \color{teal}{m} (x-\color{blue}{x_0})}}\)

Example:
Find equation of the line with slope 2.5 passing through the point (4,3)
\(\color{teal}{m} = \color{teal}{2.5}\)
\((\color{blue}{x_0},\color{purple}{y_0})=(\color{blue}{4},\color{purple}{3})\)
\(L: (y-\color{purple}{3}) = \color{teal}{2.5} (x-\color{blue}{4}) => y-\color{purple}{3}=\color{teal}{2.5}x-10 => y = 2.5x-7\)

Answer 41

A(-1,9) would be the (x0,y0) for L1, and
C(-1,-1) would be the (x0,y0) for L2.