Answer:
The equation of the straight line is 3y - 2x = - 31
Step-by-step explanation:
The equation of the given line is 3y - 12 = - 2(5 - x)
⇒ 3y - 2x = 2 ......... (1)
Now, equation of straight line parallel to equation (1), will be
3y - 2x = c ........... (2)
Now, we have to determine c.
If equation (2) passes through point (14,-1), then
3(- 1) - 2( 14) = c
⇒ c = - 31
Hence, the equation of the straight line is 3y - 2x = - 31 (Answer).
