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 does not equal 0, what is the value of r/p?

a). 2/5
b). 3/4
c). 4/3
d). 5/2

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

The answer is : v = 55 + 8m plug in m = 25 v = 55 + 8(25) = 255 25 minutes after baxter begins filling the tank, the volume of water in the tank will be 255 gallons. slope: m = 8 gal/min for every min the water is on, the volume of water in the tank increases by 55 gallons. y-intercept: 55 (0,55) the initial volume of water in the tank was 55 gallons.

The angle measures would be 70 and 90