Answer:
Step-by-step explanation:
to find eq. of line through (-4,9) and (0,3)
slope=(3-9)/(0+4)=-6/4=-3/2
reqd. eq. is y-9=-3/2 (x+4)
2y-18=-3x-12
2y=-3x-12+18
2y=-3x+6
or 3x+2y=6
if it passes through (6,-6)
3×6+2×-6=6
or 18-12=6
or 6=6
which is true.
so all three points lie on a st. line.
