Question

Verify that the equation of the line parallel to the line px + qy + r = 0 is of the form px + qy+k=0 where k is a constant.​

Answer 1

Step-by-step explanation:

hope it's helpful

Answer 2

Step-by-step explanation:

In a equation written in form of 'y = mx + c', m represents the slope of the line.

If slope of two lines is equal, lines are parallel.

  Thus,  for slope of px + qy + r = 0

⇒ qy = - px - r

⇒ y = (-px - r)/q

⇒ y = (-p/q)x  - (r/q)

     Slope of the line is - p/q.

Similarly,  for the slope of px + qy + k = 0.

⇒ qy = - px - k

⇒ y = (-p/q)x - (k/q)

 Slope of the line is - p/q.

Since slope of both the lines is same(= -p/q), lines are parallel