Question

what is p , if the slope of line
2px +(p-1)y+1=0 is -1/2?

Answer 1

Answer:

p= -1/3

Step-by-step explanation:

we know equation of the line is of the form

mx+c=y

2px+ (p-1)y+1=0

2px+1=  -(p-1)y

(2px +1 )/-(p-1) =  y

$Thus\\\frac{(2p)x}{-(p-1)} + \frac{1}{-(p-1)}$= y

Thus m= slope of line = 2p/-(p-1)

$\frac{-2p}{p-1} =\frac{-1}{2} \\\\That is$

$\frac{2p}{p-1} =\frac{1}{2} \\4p= p-1\\3p= -1 \\p= -1/3$