In the table below, x represents the miles traveled and y represents the cost to travel by train.

miles, x

cost, y

2

8.50

5

15.25

8

22.00

12

31.00

what is the slope of this function?

0.44

0.63

2.25

22.50

Third option

m = 2.25

Step-by-step explanation:

The slope of the function is equal to its rate of change between two points.

For example, for a couple of points

The slope is:

In this problem we have the following points

1.(2, 8.50) , 2. (5, 15.25), 3. (8, 22.00) , 4. (12, 31.00)

We calculate the slope between the first two points

We calculate the slope between the points 3 and 4

We calculate the slope between the points 2 and 3

The slope is always the same. Therefore m is constant and the fution is a line of slope m = 2.25

i dont know sorry

step-by-step explanation:

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17