Question

The equation of the line parallel to the line $2 x - 3 y = 1$ and passing through the middle point of the line segment joining the points (1, 3) and (1, – 7), is.

• A. $2 x - 3 y + 8 = 0$
• B. $2 x - 3 y = 8$
• C. $2 x - 3 y + 4 = 0$
• D. $2 x - 3 y = 4$

Answer 1

Answer: (B)

$2 x - 3 y = 8$

Answer 2

Mid point $\equiv \left( \frac { 1 + 1 } { 2 } , \frac { 3 - 7 } { 2 } \right) = ( 1 , - 2 )$

Therefore required line is $2 x - 3 y = k \Rightarrow 2 x - 3 y = 8$.