Question

What is the equation for the line that passes through the coordinates (1,-2), (2,-6)
1.) y=4x+2
2.) y+4x=2
3.) 4y-x=2
4.) 4y+x=2

Answer 1

want to know why?

Answer 2

x + 4y=2

Answer 3

Yes i do! I have another question just like it, and I really cant figure it out!

Answer 4

what is the slope of these two points?

Answer 5

\[\frac{y_1-y_0}{x_1-x_0}\]

Answer 6

3/2?:o

Answer 7

(1,-2), (2,-6)
so
\[\frac{-6-(-2)}{2-1}=?\]

Answer 8

\[\frac{ -4 }{ 1 }\]

Answer 9

=-4

Answer 10

right

Answer 11

yeah

Answer 12

ok so do you get how I did that with
\[\frac{y_1-y_0}{x_1-x_0}\]
?

Answer 13

makes sense so far?

Answer 14

we found the slope

Answer 15

yeah it does

Answer 16

ok so do you know this
y=mx+b?

Answer 17

have you seen this before?

Answer 18

Isnt that point slope form?

Answer 19

slope intercept

Answer 20

oh okay!
By the way if i am coming off as ignorant I'm sorry, math has just never really stuck with me too well

Answer 21

ok so we know the value for m right?
m=-4
so
y=-4x+b
and all we need is to find out what b is. Make sense?

Answer 22

Yeah

Answer 23

np we all know only what we have learned:)

Answer 24

ok so y=-4x+b
we can use either point to find out what b is (because both points will lie on our line)
we will use (2,-6)
so in this point x=2 and y=-6
so plug this into what we have (y=-4x+b)
so -6=-4(2)+b
make sense?

Answer 25

Yeah I think i got it

Answer 26

does 2=b or am I way ahead of myself?

Answer 27

y=4x+2 would be my final answer
?

Answer 28

well b=2 correct
but remember slope was not 4 it was -4
so
y=-4x+2

Answer 29

Now I'm confused:o

Answer 30

Because that isnt one of my possible answers:o

Answer 31

lol sorry I was helping someone else.

Answer 32

Ahah it's fine!

Answer 33

ahh but it is, it just does not look like one
y=-4x+2
add 4x to both sides and tell me what you have.

Answer 34

would it be 4y+x=2??

Answer 35

y=-4x+2
add 4x to both sides of this

Answer 36

they gave you the wrong answer...

Answer 37

Really??

Answer 38

yes really
x + 4y=2
take one of your points (1,-2)
x=1 and y=-2
plug into the one they said x + 4y=2
1+4(-2)=2
-7=2

Answer 39

Because, the program I am using is a summer school program to make up a credit for a class I failed by half a percentage point xb And it's terrible for teaching me any of the subjects needed

Answer 40

ok back to this problem
y=-4x+2
add 4x to both sides of this
y+4x=-4x+2+4x=-4x+4x+2=2
so
y+4x=2

Answer 41

Ahah, so then if that is the final answer, i should stick with D as my answer on the program?

Answer 42

ok this is what we did
we were given two points (x_1,y_1) and (x_0,y_0)
we need y=mx+b
slope = \[\frac{y_1-y_0}{x_1-x_0}=slope=m\]
so we know m
y=mx+b
use either point and plug in the x value for x and the y value for y
then solve for b
now we know m and b
y=mx+b

Answer 43

yes d

Answer 44

wait

Answer 45

Okay I'm pretty sure i get it now, or atleast a hell of a lot more than I ever did before. I'll try the same steps on the last question that I have just like this

Answer 46

no
y+4x=2

Answer 47

this is option2)

Answer 48

they told you option 4, and that was wrong
we proved option 2 was right

Answer 49

Ahaha, alright thank you!:D
Hopefully I can do the last problem and be done with this test now!