Question

PLEASE HELP, I WILL FAN IF YOU GET THE ANSWER RIGHT!!!!

Choose the equation below that represents the line passing through the point (-2, -3) with a slope of -6.

y = -6x - 15
y = -6x - 20
y = -6x + 15
y = -6x + 20

Answer 1

ok the equation of a line is (y-y1)=m(x=x1) now try

Answer 2

So y - -3 (which makes it +)
y + 3 = -6(x +2)

Answer 3

I am not sure if that's the formula I am supposed to use?

Answer 4

y1 = -3, x1=-2

Answer 5

m=-6 now substitute

Answer 6

or just use y = mx + b with the slope (m) being -6 and use the points given (-2,-3)...x = -2 and y = -3.....and sub that back into the formula and solve for b

Answer 7

-3 = -6(-2)

Answer 8

so 12?

Answer 9

-3 = -6(-2) + b.....now solve for b

Answer 10

y=y1 so it will be positive

Answer 11

how do I solve for b?

Answer 12

y-y1=m(x-x1)
y-(-3)=-6(x-(-2))

Answer 13

simplify

Answer 14

y + 3 = -6(x + 2)

Answer 15

but how do I solve it from there?

Answer 16

expand the RHS and simplify

Answer 17

your probably getting confused here....you are seeing two different ways to do this problem...I will be quiet and let CrashOnce finish explaining

Answer 18

ok basically expand the RHS and make it look like the answers so
have just 'y' on the LHS

Answer 19

Yea it is confusing, thank you :)

Answer 20

I haven't learned about RHS and LHS so it's confusing to be explained that way

Answer 21

RHS=right hand side
LHS= left hand side lol

Answer 22

Oh, lol thanks

Answer 23

no worries

Answer 24

what I don't understand is the answer choices

Answer 25

I'm not sure where they fit in?

Answer 26

y-(-3)=-6(x-(-2))
y+3=-6(x+2)
y+3=-6x-12
therefore
y=-6x-12-3
y=-6x-15

Answer 27

i shouldnt be posting answers but does that make more sense?

Answer 28

Ohhhhhh I forgot to multiply -6 by x and 2 that were in the parenthesis... I have been doing that a lot

Answer 29

lol take care with brackets

Answer 30

solve the brackets first

Answer 31

Yes! Thank you! sorry for taking so long to understand :)

Answer 32

I am not trying to confuse you and mess with your brain..but can I show you the way I do it....I find it a little bit easier. Are you interested ?

Answer 33

Yes of course! I would like to know other ways as well

Answer 34

ill 'retreat' now thanks c:

Answer 35

haha okay, thank you! @CrashOnce

Answer 36

the formula we will use is y = mx + b
the slope is always in the m position. The points (-2,-3)...x = -2 and y = -3
now we sub into the formula
y = mx + b
-3 = -6(-2) + b
-3 = 12 + b
-3 - 12 = b
-15 = b
so we now have : y = -6x + (-15) or y = -6x - 15

Answer 37

That makes a lot of sense too! I was always going back to the y = mx + b formula, I just wasn't sure what to do with b...Thank you for takin your time to respond! All the help is much appreciated! :) @texaschic101

Answer 38

your very welcome :) you can also do it the way CrashOnce did it

Answer 39

Okay, thank you! :)