The line L is given by 2x + by = 7,
passes through (8,3)
2*8+b*3=7
b=-3
2*x-3y=7
K has equation cx + 2y =c
The line K is parallel to L so equation of L and K is only diifer by intercept so value of coeffcient of x, y are same
equation of line L has y coeffiecient of y as -3 while line K has y coeffiecient of y as 2 so to make them equal ,multiply eqation of line K by (-3/2)
Equation of Line K becomes
If you equate coefficient of x from eqaution of Line L and K
Equation of K becomes 2*x-3y=2
The distance between L and K is difference of interecept = 7-2=5 unit