Question

The lines represented by 4x + 3y = 9 and px - 6y+ 3 = 0 are parallel. Find the value of p.

Answer 1

Answer:

Step-by-step explanation:

Here given two lines are parallel.

So the slopes of these two lines are same.

Take 4*x+3*y=9

3*y=9-4*x

y=(9-4*x)/3

y=-4/3x+3

Slope=-4/3

Take p*x-6*y=3

6*y=p*x-3

y=(p*x-3)/6

y=p/6*x-1/2

Slope=p/6

So, -4/3=p/6

p/6=-4/3

p=-4/3*6

p=(-4*6)/3

p=(-8)