Question

What equation represents the line passing through the points (2,-2) and (-5,12) ?

Answer 1

Use this:
\[\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}\]where \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of the points lying on the line.

Answer 2

Solo 14 over 3...?

Answer 3

So*

Answer 4

The answer choices are
2x-y=2
2x+y=2
X+2y=2
X-2y=2

Answer 5

Not really, you have to substitute the values into that form and simplify it.
Let say, \((x_1, y_1)\) = (2,-2) and \((x_2, y_2)\) = (-5,12)
Sub. the values into it.
\[\frac{y-(-2)}{x-2} = \frac{12-(-2)}{(-5)-2}\]^Simplify and rearrange the terms.

Answer 6

Ya that's 14/3

Answer 7

@Callisto

Answer 8

No.... the denominator is -5 - 2 and it's not 3...

Answer 9

Oh -7

Answer 10

@Callisto

Answer 11

Yup. For the denominator...
So, you got
\[\frac{y-(-2)}{x-2} = \frac{14}{-7}\]Can you simplify it?

Answer 12

Well I know 14/-7 simplifies to -2 @Callisto

Answer 13

Yes :)
What is y-(-2)?

Answer 14

Idk cause idk what y is :(

Answer 15

@Callisto

Answer 16

we.. just simplify it...
y-(-2) = y+2

Answer 17

Oh ok..

Answer 18

Ok so y+2/x-2 = -2 @Callisto

Answer 19

Yes. Multiply x-2 to both sides, what do you get?

Answer 20

-2x+4 on the right side @Callisto

Answer 21

Idk bout the left

Answer 22

For the left, the denominator of the fraction will be cancelled.
So, you get
y+2 = -2x+4
Rearrange the terms and get your answer :)

Answer 23

Ok got it. What's the answer I wanna make sure I did it right @Callisto

Answer 24

What have you got?

Answer 25

2x-y= 2

Answer 26

Or 2x+y=2 idk

Answer 27

@Callisto

Answer 28

Which one makes more sense to you??

Answer 29

The first one ??

Answer 30

Why???

Answer 31

Cause u have to subtract the y on the other side

Answer 32

Is it right?

Answer 33

Not really...
y+2 = -2x+4
y+2 -y= -2x+4 -y
2 = -2x - y + 4

Answer 34

That's not even one of the answer choices

Answer 35

You need some more work...
Btw, I was showing you ''Cause u have to subtract the y on the other side''

Answer 36

Ok.... I'm confused lol.. Never mind then.

Answer 37

The best way is to add 2x to both sides instead of subtracting y from both sides.
y+2 = -2x+4
y+2 + 2x = -2x + 4 + 2x
2x + y + 2 = 4 <- simplify it.

Answer 38

Y= 2x+6 ...?

Answer 39

Or wait its y= 2x+2!!!

Answer 40

Oh please just tell me the answer ?! :( @Callisto

Answer 41

We are not allowed to tell answers.

Answer 42

Ok never mind.

Answer 43

When you get to this step
2x + y + 2 = 4
Subtract 2 from both sides. You can probably get your answer then.

Answer 44

2x+y=2??!!???!

Answer 45

Got it thank you.