parallel line equation

[crimson fossil]

Write an equation of the line parallel to the line y = 2 − 3/2 x at (4, −2) and sketch its graph

[crimson fossil]

my goat is back

[formal gyro]

𝔸dωn𝓲²s

[crimson fossil]

lol

[unique owl]

haha mb

[crimson fossil]

fire

[unique owl]

First thing

[crimson fossil]

so

slope is same

right

[unique owl]

exactly nice

m = -3/2

What is the general equation for linear functions?

[crimson fossil]

like the y = mx + b

[unique owl]

yes!

by now we have

y = -3x/2 + b

we need b

and we are given an information

[crimson fossil]

we plug in the x and y right

[unique owl]

yes!!

We want the point to be part of our new function

so we plug it in to find a matching b

[unique owl]

oh it's -2**

[crimson fossil]

yeah true

[formal gyro]

𝔸dωn𝓲²s

[unique owl]

Now solve for b

How can we simplify things?

[crimson fossil]

can we just multiply the 3 and 4

so -12/2

[unique owl]

ok yeah

and that's

?

12 divided by 2

[crimson fossil]

6

[unique owl]

ye

[formal gyro]

𝔸dωn𝓲²s

[unique owl]

last step?

[crimson fossil]

so do we get rid of the 6 by adding

[unique owl]

yes

-2 + 6?

[crimson fossil]

-4

[unique owl]

nope

you going 6 steps positive

starting at -2

where do you end up

[crimson fossil]

oh yeah

brainf art

lol

fart

[unique owl]

and art

so

?

[crimson fossil]

just 4

[unique owl]

yes

so

[crimson fossil]

so b = 4

and plug in

[unique owl]

,,g : y = -\frac{3}{2}x + 4

[formal gyro]

𝔸dωn𝓲²s

[unique owl]

Let's see

,w plot y = -3x/2 and y = -3x/2 + 4 between 0 and 5

[crimson fossil]

so we just use the points as a refernce

[formal gyro]

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Requested by adoniszgks

[unique owl]

yea it goes through (4,-2)

[unique owl]

wdym

[crimson fossil]

that

lol

[unique owl]

uhm

[crimson fossil]

i mean we just use b

and do the slope

lol

[unique owl]

i dont get ya

[crimson fossil]

nvm lol

to graph

we use b

and just slope

[unique owl]

yea

[crimson fossil]

for the new line

yeah

[unique owl]

it's the y-intercept

[crimson fossil]

ye

[unique owl]

We can use

(0,4) and (4,-2) to draw it

draw the points and connect them with a line done

[crimson fossil]

ye fire