Question

find 3 additional points through which the line passes. point (6,-4) m=2/3

Answer 1

point-slope form
\[y-y1 = m(x-x1)\]
\[y+4 = (2/3)(x-6)\]
\[y = (2/3)x -8\]
plug in 3 x-values to find your 3 points

Answer 2

so it doesnt matter what the x values are?

Answer 3

nope

Answer 4

you can also think as follows:
slope of 2/3 means right 3 up 2
you have (6,-4) so also (9,-2) "right 3 up 2" and (12,0) and (15,2) and (18,4) and (21,6) and ...