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Mathematics 13 Online
OpenStudy (piercetheveil47):

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OpenStudy (surana):

@millsemily/@bohotness /@misty1212 could one of you help out here?

OpenStudy (anonymous):

y=mx+b for both lines

OpenStudy (surana):

Okay...

OpenStudy (surana):

That might be a bit hard to do.

OpenStudy (anonymous):

no it isn't.

OpenStudy (anonymous):

pick a line and find two points on that line

OpenStudy (surana):

Okay, this isn't something I can do. Sorry.

OpenStudy (anonymous):

don't be sorry

OpenStudy (piercetheveil47):

thank you for trying !! :) @Surana

OpenStudy (piercetheveil47):

I've been working on this for 5 hours

OpenStudy (anonymous):

can you find the slope of one of the lines?

OpenStudy (surana):

Y = mx + B is the x on one side, y on the other with the number on the same side as X, right? Because if it's that, I might know what to do.

OpenStudy (anonymous):

sorry i don't quite understand

OpenStudy (anonymous):

okay I picked two points on the left line. (-1,2) and (1,-2)

OpenStudy (anonymous):

can you find the slope from that?

OpenStudy (piercetheveil47):

yes one moment

OpenStudy (piercetheveil47):

-2 is slope?

OpenStudy (piercetheveil47):

thats what i got

OpenStudy (anonymous):

that's right

OpenStudy (anonymous):

now find the y-intercept b by plugging in (x,y) for one of the points into the equation y=-2(x)+b

Nnesha (nnesha):

y-intercept from the graph ?? ^

OpenStudy (anonymous):

yep you can also use the graph but try and do the math

Nnesha (nnesha):

there is an easy way to find y intercept y -intercept where line cross y-axis's

OpenStudy (anonymous):

for the point (-1,2) the equation is 2=-2(-1)+b. what is b?

Nnesha (nnesha):

for right line .

OpenStudy (anonymous):

you still there piercetheveil47?

OpenStudy (piercetheveil47):

sorry im back i had to leave the computer for a minute

OpenStudy (anonymous):

ok well b=0. this means that the equation for the line on the left is y=-2x

OpenStudy (anonymous):

alright now pick two points on the right line

OpenStudy (piercetheveil47):

ok

OpenStudy (piercetheveil47):

(2, 3)

OpenStudy (piercetheveil47):

would that be one

OpenStudy (anonymous):

yep

OpenStudy (anonymous):

pick one more

OpenStudy (piercetheveil47):

okay (-2, 4)

OpenStudy (anonymous):

nope wrong line

OpenStudy (anonymous):

find a point on the other line

OpenStudy (piercetheveil47):

(0.5, -2)

OpenStudy (anonymous):

i think that (1,-2)

OpenStudy (anonymous):

but ya that is a point, well done

OpenStudy (anonymous):

now take the two points (2,3) and (1,-2) and find the slope

OpenStudy (piercetheveil47):

okay

OpenStudy (piercetheveil47):

5

OpenStudy (anonymous):

good

OpenStudy (anonymous):

now find the y-intercept which is 'b' in the equation y=5x+b

OpenStudy (piercetheveil47):

how do you do that?

OpenStudy (anonymous):

take one of the points and plug in the values for x and y in the equation

OpenStudy (piercetheveil47):

so y = 5(2) + 3?

OpenStudy (anonymous):

almost. it should be 3=5(2) + b

OpenStudy (anonymous):

we are trying to find b remember

OpenStudy (piercetheveil47):

ohhhhh

OpenStudy (piercetheveil47):

so what do i do now?

OpenStudy (anonymous):

do you know how to solve for b? just a bit of algebra

OpenStudy (piercetheveil47):

no i don't recall :/

OpenStudy (anonymous):

i'll rearrange the equation

OpenStudy (piercetheveil47):

okay :)

OpenStudy (anonymous):

3-5(2)=b

OpenStudy (anonymous):

can you solve it now?

OpenStudy (piercetheveil47):

yes one minute

OpenStudy (piercetheveil47):

-7?

OpenStudy (anonymous):

that's right, good job

OpenStudy (anonymous):

now we know m=5 and b=-7, what is the equation of the line?

OpenStudy (anonymous):

remember: y=mx+b is the equation for a line

OpenStudy (piercetheveil47):

so y = 5x+7?

OpenStudy (anonymous):

should that be +7 or -7?

OpenStudy (piercetheveil47):

ohhhhh im sorry

OpenStudy (piercetheveil47):

y = 5x + -7

OpenStudy (anonymous):

great. So now you the equations for both lines. y=-2x and y=5x-7

OpenStudy (anonymous):

now look at the choices and tell me what the answer is

OpenStudy (anonymous):

you will have to rearrange the equations

OpenStudy (piercetheveil47):

ummmm is it A?

OpenStudy (anonymous):

nope

OpenStudy (anonymous):

take the equation y=-2x. put x and y on the same side.

OpenStudy (piercetheveil47):

what do you mean?

OpenStudy (piercetheveil47):

but now i feel like its either C or D

OpenStudy (anonymous):

okay, add 2x to both sides of the equation y=-2x. what do you get?

OpenStudy (piercetheveil47):

2x?

OpenStudy (anonymous):

nope. you get y+2x=0

OpenStudy (anonymous):

do you get that?

OpenStudy (piercetheveil47):

oh yes

OpenStudy (anonymous):

great. now do the same for y=5x-7

OpenStudy (piercetheveil47):

add 5x to both sides?

OpenStudy (anonymous):

not quite. subtract 5x from both sides

OpenStudy (piercetheveil47):

oh okay. so would it be -12

OpenStudy (anonymous):

nope. its y-5x=-7

OpenStudy (anonymous):

the 5x on the right side cancels

OpenStudy (anonymous):

now the last step is to multiply both sides by -1 which makes the equation 5x-y=7

OpenStudy (anonymous):

so now you have the answers y+2x=0 and 5x-y=7

OpenStudy (anonymous):

now you can pick from the options

OpenStudy (piercetheveil47):

so B??

OpenStudy (anonymous):

ya thats right

OpenStudy (piercetheveil47):

thank you SO much!! @10115658

OpenStudy (anonymous):

please ask if you have any questions cause i feel like i went through the last part pretty fast

OpenStudy (piercetheveil47):

its okay :) i get it now, thank you a lot, it took me 6 hours on this!

OpenStudy (anonymous):

wow, thats dedication. Have a good night! :)

OpenStudy (piercetheveil47):

you too!! @10115658

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