Question

write an equation of a line that passes through (-6,2) with slope 2/3

Answer 1

Use the point-slope form of an equation of a line:
y-y1= m(x-x1)

Answer 2

wait how would i put them in here?

Answer 3

oh sry, i thought ur slope was a coordinate poitn...my bad sry

Answer 4

i get messed up with the y and x things

Answer 5

-6 is ur x 2 is ur y

Answer 6

so then i have 2-y^1=m(-6-x^1)

Answer 7

Slope-intercept form is like this:

y = mx + b

where m is the slope, and b is the y intercept.

So they give you the slope of 2/3 which means m = 2/3, right?

They also give you point (-6,2) which means they have given you an x-value and a y-value for this line:

x = -6 and y = 2.

Good so far?

Answer 8

im not sure
this is the answers i have
A)y=2/3x+8
B)y=2/3x+6
C)y=2/3x-2
D)y=2/3-4

Answer 9

what i'm asking, is if you understand what i've written so far:)

Answer 10

o yeah i understand

Answer 11

sorry got confushed

Answer 12

what are you confused on?

Answer 13

i dont know now

Answer 14

I'll start over then:)


(This is really important to understand because it's the basics)

Answer 15

ok

Answer 16

So the choices you are given are all in slope intercept form. (y = mx + b) Right?

Answer 17

yes

Answer 18

Okay:) And you are given the slope = 2/3 and the point = (-6,2) right?

Answer 19

yes

Answer 20

and the equation y = mx + b is what we'll plug that info into okay?

SO

if m = the slope and b is the y intercept (the y part of the point they gave you)

can you plug it in?

Answer 21

2=-6x+b? is this how i would plug them in?

Answer 22

um no. the only thing you're pluggin in is the

slope where the m is

and the y intercept where the b is :)

Answer 23

can you try again?

Answer 24

y=2/3x+-6?

Answer 25

wait. you are VERY close.

You accidentally put the x- intercept in there instead of the y - intercept.

Try once more :D

Answer 26

y=2/3x+2

Answer 27

YAY! There you go:D

Answer 28

okay:)

Answer 29

would the +2 turn to -2?

Answer 30

Only if the 2 was a negative.

Answer 31

o, i dont have this answer to choice from

Answer 32

hmm. that's odd. are you sure you wrote this part right "(-6,2)" ?

Answer 33

yeah

Answer 34

i have
y=2/3x+8
y=2/3x+6
y=2/3x-2
y=2/3x-4

Answer 35

did you post the question right though?

Answer 36

yes

Answer 37

is the slope supposed to be 2/3?? or -2/3?

Answer 38

write an equation of a line that passes through (-6,2) with slope 2/3.

Answer 39

thats the question

Answer 40

okay then. we can try another equation.

y-y1= m(x-x1)

with this equation, you plug in the 2 for the y1, and the -6 for the x1. can you do that for me?

Answer 41

If you plug it in, it should look like this:

y-2= m(x+6)

then you plug the slope (2/3) in with the m, and get

y-2= 2/3(x+6)

from here, you solve.

do you understand so far?

Answer 42

i thought the 6 would be -

Answer 43

yay! it would (i was just seeing if you really cared about understanding it)

So it's

y-2= 2/3(x-6)

now if we further solve it we get

y - 2 = 2/3x - 4

we add 2 to both sides and the 4 turns into a 2 and we get what?

Answer 44

y=2/3x+6?

Answer 45

no the answer is y=2/3x-2

Answer 46

yay:) there you go :D sorry about the confusion about the last one.

Answer 47

its ok :)

Answer 48

(you're welcome i guess then?)