Question

show that the line that passes through the points (-4,9) and (0,3) also passes through the point (6,-6)

Answer 1

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.