Question

Write the equation of the line that is parallel to the line 2x+y+8 and passes through the point (-2,1)

Answer 1

Me thinks you got typo

Answer 2

Its on the sheet my teacher gave me

Answer 3

oh wait i do its 2x+y=8 .

Answer 4

Alright, so can you put that into slope intercept form?

Answer 5

is that y=mx+b?

Answer 6

Yes

Answer 7

so then would it be y=2x+8?

Answer 8

-2x

y=-2x+8

Answer 9

how do you show your work for this question?

Answer 10

Just show the steps you took...

from here you can see the slope of the line is -2, right?

Answer 11

2x+y=8
-2x -2x
y=-2x+8
thats it so far

Answer 12

okay whats next?

Answer 13

Use point slope form

y-y1=m(x-x1)

(x1,y1) is the point you have
m=the slope which has to be the same as the other line since theyre parallel, -2

plug those in and simplify

Answer 14

so you write it like this: y-1=m(x-(-2)?

Answer 15

Forgot m

y-1=-2(x-(-2))

Answer 16

Now use distributive property on the right side, then add 1 to both sides

Answer 17

so for the distrubuted side it would be 2x-4?

Answer 18

the 2 in front is negative,

y-1=-2x-4

Answer 19

okay then you add 1 to both sides?

Answer 20

Right, what's your final answer?

Answer 21

y=2x-3. is that right?

Answer 22

The negative keeps vanishing....

y=-2x-3

Answer 23

so then that would be the final answer ^?

Answer 24

Right

Answer 25

thank you sooo much. can you help me with another one?

Answer 26

Sure

Answer 27

ill supervise

Answer 28

what is the slope of the line that passes through the points (3,-7) and (-5,-1)?

Answer 29

Well, slope is \[\Delta y/\Delta x\]

Answer 30

what?

Answer 31

what does that mean?

Answer 32

So your points are (x1,y1) and (x2,y2) to find the slope you do

(y2-y1)/(x2-x1)

Answer 33

rise over run

Answer 34

(-1-(-7))/(-5-3)=?

Answer 35

okay

Answer 36

uhm.... How do you find the answer?

Answer 37

simplify the problem i just typed..

(-1+7)/(-5-3)

Answer 38

how? I dont get it

Answer 39

whats -1+7?

Answer 40

do your pemdas

Answer 41

6

Answer 42

yeah and whats -5-3?

Answer 43

-8

Answer 44

so, slope is 6/-8

which simplifies to?

Answer 45

-3/4?

Answer 46

Yep

Answer 47

thank you so much(:

Answer 48

You're welcome