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86
Since the point (p, r) lies on the line with equation -
y = x + b
Substituting p for x and r for y in the equation y = x + b
gives -
r = p + b or,
b = r - p
Similarly, since the point (2p,5r) lies on the line with the equation y = 2x + b
Substituting 2p for x and 5r for y in the equation
y = 2x + b gives:
5r = 2(2p) + b
5r = 4p + b
b = 5r − 4p.
Next, we can set the two equations equal to b equal to each other and simplify:
b = r − p = 5r − 4p
3p = 4r
Finally, to find r/p
we need to divide both the sides of the equation by p and by 4 :
3p = 4r
The correct is option B
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