Question

Geometry Help Please

Answer 1

Write an equation of a line parallel to y = 2 over 3x −5 in slope-intercept form that passes through the point (−6, −1).

y= 2 over 3x + 3

y= 2 over 3x − 6

y= −3x − 1

y= 3x + 6

Answer 2

@mathslover @metsrj

Answer 3

Oops meant to write @mertsj

Answer 4

@mathmale

Answer 5

Can anyone help, I've tried for a half hour on this problem but can't come up with an answer.

Answer 6

Ok, first, can you show me the formula for slope-intercept form?

Answer 7

y = mx + b

Answer 8

ok good, :) I swear it will not be that difficult, just stick with me alright?

Answer 9

So we have:\[y=\frac{2}{3x}-5\]Is that correct?

Answer 10

I will, sorry if I don't reply immediately. I keep having to refresh page after I reply

Answer 11

Yes

Answer 12

Alright and that x is on the bottom?

Answer 13

or is it like this: \[y=\frac{2}{3}x-5\]

Answer 14

Second one haha.

Answer 15

alright lots easier then =)

Answer 16

So first, what is the slope of our line?

Answer 17

2/3?

Answer 18

yep

Answer 19

so now, if two lines are parallel their slopes are the ________.

Answer 20

slopes are equal

Answer 21

so that eliminates the last 2 options?

Answer 22

good good

Answer 23

now, can you tell me point-slope form?

Answer 24

uh idk, I haven't looked at them haha

Answer 25

y – y1 = m(x – x1)

Answer 26

alright, so can you input what we have into that?

Answer 27

Annoying have to refresh page everytime after I post
Umm.. I'm not quite sure. Let me thinkkk

Answer 28

ok what is m?

Answer 29

2/3

Answer 30

good, \(y_1?\)

Answer 31

That's where im stuck at. Guessing 5?

Answer 32

What is the point you were given for your new line?

Answer 33

(-6,-1) so y1 = -1?

Answer 34

yeppers

Answer 35

and x_1?

Answer 36

-6

Answer 37

yep so now, put those values in

Answer 38

and Watch your signs

Answer 39

y - (-1) = 2/3(-5 - (-6))
I think that's right, x = -5?

Answer 40

nope x=x

Answer 41

but other than that excellent, I'm really happy you kept your parentheses

Answer 42

So now, just solve for y and simplify the right side

Answer 43

y=1/3(2x+9)
I keep getting this?

Answer 44

can you show me each step?

Answer 45

Sorry had to restart wifi

Answer 46

it's cool

Answer 47

y - (-1) = 2/3(x - (-6))
Ok so that looks like that.
y + 1 = 2/3 (x+6)
y + 1 = 2/3x + 4
y = 2/3x + 4 -1
Is this good so far?

Answer 48

yes, and you have one step and you are finished

Answer 49

literally 1 step. The smallest easiest step ever

Answer 50

y = 2/3x + 5

Answer 51

wait, what is 4-1?

Answer 52

well crap
so it'll be y = 2/3x +3

Answer 53

yuppers

Answer 54

You did it all yourself :) just a little guidance. Good work =)

Answer 55

Thanks so much man! I mostly understand all this again, just needed some refreshment.

Answer 56

np, and trust me refreshment is necessity. That is why I am on here. I haven't used real numbers in a class in like 4 years lol

Answer 57

Yea I agree. Especially with this type of stuff, hasn't been that long since I last used it but the concept was already escaping me :p. Thanks again!

Answer 58

yw and it's cool, have a good one!