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
2 answers:
Answer:
hi
Step-by-step explanation:
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Answer:
The correct answer is B,
3/4.
Step-by-step explanation:
choices A and D, you may have incorrectly formed your answer out of the coefficients in the point (2p,5r). If you picked Choice C, you may have confused r and p.
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
divide both sides of the equation by p and by 4:
3p=4r
3=4r/p
3/4=r/p
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