Question

Which equation represents the line passing through the points (3, 2) and (-9, 6)?
A. x- 3y = 9
B. x + 3y = 9
C. 3x - y = −9
D. 3x + y = 9

Answer 1

Well, if you're in a hurry, you can plug in these points into the equations and see which equation works for both points.

Answer 2

Otherwise, you can use these two points to determine the exact equation of the line~ with or without those choices.

Answer 3

so i just plug in (3,2) and (-9,6) into x and y?

Answer 4

Yes, that's one way to do it, arbitrary, but relatively quick...
See which choice works for BOTH points.

Answer 5

okay i just tottaly confused myself lol

Answer 6

Okay, let's start with choice A...
x - 3y = 9
and test the point (3,2)
Replace x with 3
Replace y with 2
3 - 3(2) = 9
3 - 6 = 9
-3 = 9
Which is false, so it's not A.

Answer 7

x + 3y = 9
and test the point (3,2)
Replace x with 3
Replace y with 2
3 + 3(2) = 9
3+ 6 = 9
9=9
so choice b is ture? i think?

Answer 8

Remember, BOTH points have to be tested... one is not enough...

Answer 9

x+3y=9
-9+3(6)=9
-9+18=9
9=9

Answer 10

so its b right?

Answer 11

@terenzreignz

Answer 12

Yup. Nice job :D

Answer 13

yay! thank you for your time :D