Verified answer

there are 3 formula u have to remember

slope(m) formula=>

m=(y2-y1)/(x2-x1)

slope intercept formula=>

x/a + y/b =1

standard form =>

y=mx+c

now see

let A (3,-2) and B(6,2)

u can take any coordinate as x1 y1 and x2 y2

slope=(2-(-2))/(6-3)

=(2+2)/(3)

=4/3

now how to write equation u have given 2 points

take any point

y2-y1 = m(x2-x1)

y-2 = 4/3(x-6)

3(y-2)=4(x-6)

3y-6=4x-24

4x-3y-18=0 <=== answer

u can take this point(3,-2)

y-(-2)=4/3(x-3)

3(y+2)=4(x-3)

3y+6=4x-12

4x-3y-18=0 <=== answer

take any point u will get the same answer :D

edit-oh standand form-

4x-3y-18=0

3y=4x-18

y=4/3 x -6

:)

:)

First find slope (subtract y's over subtract x's)

2 - -2 over 6 - 3 = 4/3

Then choose either point (I'll choose (6,2))

y - 2 = 4/3 (x - 6) which is point-slope

Multiply by 3 to cancel fraction (can't have fractions in standard form)

3y - 6 = 4(x - 6)

3y - 6 = 4x - 24 move the y term to be with the x term, and the constants to be on the other side

-3y+24...-3y+24

-------------------------

18 = 4x - 3y

so 4x - 3y = 18