Question

Which equation represents the line passing through the points (3, 2) and (−9, 6)?

x − 3y = 9

x + 3y = 9

3x − y = −9

3x + y = 9

Answer 1

we can use slope intercept form

Answer 2

y=mx+b?

Answer 3

no (y-y0)=m(x-x0)

Answer 4

here (x0,y0) is one of those points and m is slope

Answer 5

slope=y2-y1/x2-x1

Answer 6

so slope will be 6-2/-9-3 =1/-3 =-1/3

Answer 7

ok thank you!

Answer 8

by using slope intercept form,we have (y-6)=(-1/3)(x--9)

Answer 9

are you getting it?

Answer 10

mostly yes

Answer 11

so we will now expand this

Answer 12

y-6=(-1/3)(x+9) --->y-6=(-x/3) -9/3

Answer 13

y+x/3 =-3+6 --->y+x/3=3

Answer 14

any doubts till here?

Answer 15

nope, but it's the 2nd one, right?

Answer 16

yes

Answer 17

u multiply this by 3..and will get the answer as the second one

Answer 18

thank you so much!

Answer 19

You are welcome:D