Coordinate geometry

[glacial pond]

Coordinate geometry I need help with this question please

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[remote otter]

maybe you can get it into slope intercept form then set the slopes equal to each other

[glacial pond]

ive written it in the form y= -2x+7 ky=-4x+3

but i dont know if im on the right track

[glacial pond]

.

[remote otter]

well yes, divide by k on both sides

[glacial pond]

and then what

[remote otter]

.

[glacial pond]

i dont understand

[remote otter]

what are the slopes of the 2 lines

[glacial pond]

first one is -2x/1 and the other one is -4x/k

[remote otter]

slope should just be a number, don't include x

so now

since they are parallel

[glacial pond]

k

[remote otter]

you know the slopes are the same

[glacial pond]

ye

but there not

ones 2 and the othe is 4/k

[remote otter]

they are equal

write an equation and solve it

[glacial pond]

how is 2 and 4/k equal

[remote otter]

you are trying to figure out k, so that they are equal

[glacial pond]

ye so whats the answer for k

[remote otter]

that's the question

2 = 4/k

solve it

[glacial pond]

idk where to even start

how do i do that

[remote otter]

clear the fraction

[glacial pond]

how lol

[remote otter]

multiply by the denominator...?

[glacial pond]

muuultiply what by the denominator

[glacial pond]

?pls help me

[remote otter]

both sides of the equation

would it help if we write it as $\frac{2}{1} = \frac{4}{k}$

[faint jasper]

Pyrokinetics

[glacial pond]

ye

thats what i ahve written rn but i dont what to do

[remote otter]

do you know cross multiplication

[glacial pond]

no

[remote otter]

ok here is what to do

multiply both sides by k

$2\cdot k = \frac{4}{k}\cdot k$

[faint jasper]

Pyrokinetics

[remote otter]

simplify

[glacial pond]

2k=4k^2??

[remote otter]

no

that is not how cancellation works

[glacial pond]

😭

[remote otter]

what's $\frac{4}{\pi}\cdot \pi$

[faint jasper]

Pyrokinetics

[remote otter]

dunno if this will help

[glacial pond]

bro what

4/pi x pi is ment to help me

[remote otter]

alright lets go back to k

$\frac{4}{k}\cdot k = 4\cdot \frac{k}{k}$

[faint jasper]

Pyrokinetics

[glacial pond]

can u not just tell me how to do it insated of making me figuure out myslef

[remote otter]

no

[glacial pond]

plsssssssssss

[remote otter]

what is k/k

[glacial pond]

im so confusedddddddddddddd

i dont know what k is

[remote otter]

ok

k/k is one

any number divided by itself will give 1 except if it's 0

[glacial pond]

ok

[remote otter]

this allows you to simplify

$2k = 4\cdot 1$

[faint jasper]

Pyrokinetics

[remote otter]

now can you get it

[glacial pond]

k=2

?

[remote otter]

yes

[glacial pond]

thank god

ty

for the help

[remote otter]

[lament lake]

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[remote otter]

it may be worth memorizing that

[glacial pond]

alr

[remote otter]

$a/b = c/d \implies ad = bc$

[faint jasper]

Pyrokinetics

[remote otter]

his is the cross multiplication formula

maybe look it up, they will put it in more visually appealing format than latex can

[glacial pond]

k ty

[patent cedar]

@void pewter