Select the 2 pairs of points so that the line between those points has slope 3/4. There are 2 choices that work!
A.
(0,5) and (-4,8)
B.
(6,-1) and (10,2)
C. (1,5) and (4,7)
D.
(0,5) and (-4,2)
E.
(-4,4) and (-1,7)

D.

(0,5) and (-4,2)

E.

(-4,4) and (-1,7)

Step-by-step explanation:

To solve this problem, we apply the slope formula and compare with the known slope to see if the answer tallies;

 Slope  =  

A.

(0,5) and (-4,8)

     x₁ = 0       y₁ = 5

     x₂ = -4     y₂  = 8

   Slope  =   =

B.

(6,-1) and (10,2)

     x₁ = 6       y₁ = -1

     x₂ = 10     y₂  = 2

   Slope  =   =

C.

(1,5) and (4,7)

      x₁ = 1       y₁ = 5

     x₂ = 4     y₂  = 7

   Slope  =   =

D.

(0,5) and (-4,2)

     x₁ = 0       y₁ = 5

     x₂ = -4     y₂  = 2

   Slope  =  (2-5) / (-4-0)  = 3/4

E.

(-4,4) and (-1,7)

      x₁ = -4       y₁ = 4

     x₂ = -1        y₂  = 7

   Slope  =   =

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square

the red lines denote the population of the bacteria after 35 hours. that would be 2,409.24. the y-intercept is the blue line which is 800 because that is the starting point. the equation used to make the graph is 800(1.032)^h, where h is the number of hours.

step-by-step explanation: