Please help!
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

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

aloha~! my name is zalgo and i am here to you out on this gracious day. in order to compare the ratios easily, it is best that we simplify the question first. so, the cougars would have 6 wins for 5 losses, bobcats make 2 wins for 1 loss. bulldogs and tigers have a ratio where you can't simplify it. so, the team with the lowest rate would be the bobcats.

i hope that this ! : d

"stay and stay proud! " - zalgo

a c

step-by-step explanation: