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In the xy-plane, the point (p,r) lies on the line with equation y=x+b, where b is a constant. The point with coordinates (2p,5r) lies on the line with equation y=2x+b. If p≠0, what is the value of r/p?


A)

2/5


B)

3/4


C)

4/3


D)

5/2

Respuesta :

Answer:

B. 3/4

Step-by-step explanation:

;) i dont know jk i do know

Each point should satisfy the equation of the line it belongs to.

This means that:

for the equation of the first line (y=x+b), the point (p,r) satisfies this equation, thus: r = p + b .......> equation I

for the equation of the second line (y=2x+b), the point (2p,5r) satisfies this equation, thus: 5r = 4p + b .........> equation II

Subtract equation I from equation II to eliminate the constant b:

5r-r = 4p+b-p-b

4r = 3p

Thus, r/p = 3/4

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