Question

Write a general linear equation for the line through the two points (-2,1), (2,-2).

Shall I first find slope and then use the point-slope formula???

Answer 1

@amistre64 Am I correct or is there some other method to be used
@satellite73 Am I correct or is there some other method to be used

Answer 2

you can if you want to yes

Answer 3

is there another method??

Answer 4

or, you can setup 2 equations:

y = mx + c
y = mx + k

and equate them

Answer 5

well, +c for both of them would be better

(-2,1)

1 = -2m + c

(2,-2)

-2 = 2m + c

Answer 6

What do I do after this??

Answer 7

@amistre64

Pls inform what further steps do I have to go through

Answer 8

well, its either a substitution or elimination to determine m and x

Answer 9

m and c that is

Answer 10

Ok, so it is same as solving simultaneous linear equations

Answer 11

1 = -2m + c
-2 = 2m + c
------------
-1 = c


1 = -2m -1
2 = -2m
-1 = m

the line equation then amounts to: y = -x-1

Answer 12

correct

Answer 13

thanks for your help....☺

Answer 14

the general setup tho is to convert that into:

Ax + By = C

or

Ax + By + C = 0

Answer 15

your original method would have worked well too :) good luck