Question

What is the standard form equation of the line passing through (–2, 8) with a slope of 2?

I am having trouble figuring out how to do this problem... I think I was absent this day

Below is the choices
A. 2x – y = 12

B. 2x – y = –12

C. 2x + y = 12

D.2x + y = –12

Answer 1

The slope-intercept formula is all you need: \[y-y _{1} = m(x-x _{1})\] The x1 and y1 are the two values (-2, 8) you were given, and the m is the slope you were also given. Plug and chug.

Answer 2

so y-8=2(x+2)?

Answer 3

Exactly, so just distribute the 2 through the parentheses then rearrange the equation so you have the x's and y's on the left side and the 12 on the right side like in your choices of solutions.

Answer 4

I have a tutorial on this thing

http://openstudy.com/users/zepp#/updates/4fa3474fe4b029e9dc34125e

You'd have to scroll down for those cases.

Answer 5

Situation 3 :)

Answer 6

so...
y-8=2x+4
-2x+y=12
so.....
-1(-2x+y=12)
2x-y=-12
sooo

B

Answer 7

Oh it's called the "point-slope form" as I see from your tutorial zepp, not the "slope-intercept" form as I was calling it. My bad :) But yes lyssa, that is correct! :)

Answer 8

YAY:D Thanks I got some more question that I will be asking :D

Answer 9

Yeah, slope-intercept form is \(y=mx+b\)

Answer 10

Can I ask here?

Answer 11

Or to cut down on your steps a little, you don't have to multiply by (-1). You can just do:
y-8=2x+4
-8-4 = 2x-y
-12=2x-y

To get the same answer.

If your other questions are related to this one then I assume you would be fine in posting them here but I am a newbie to this website so I do not know.

Answer 12

What is the equation in point-slope form of the line passing through (–2, 0) and (2, 8)?

Answer 13

http://openstudy.com/users/zepp#/updates/4fa3474fe4b029e9dc34125e

Situation 4 :)

Answer 14

Thanks Zepp:D

Answer 15

You are welcome, you'll get a point-intercept form when you simplify everything, so all you need to do is to transform it back into the point-slope form.

Answer 16

It wont go to the site so can you help me here

Answer 17

http://puu.sh/F7Lc

There you go

Answer 18

(–2, 0) and (2, 8)

m=8-0/2+2=2
so slope is 2

Answer 19

You are on the right track :)

Answer 20

y-y1=m(x-x1)

y-0=2(x+2)

y-0=2x+4

Answer 21

You are so goooood! :D

Answer 22

2x-y=-4

Answer 23

these are my choices

y = 2(x + 2)

y = 2(x – 2)

y = –2(x – 2)

y = –2(x + 2)

Answer 24

sooo. A