Question

2,22 and 8,25 what is the rate change and initial value

Answer 1

Another question -5,8 and -7,14 what is the rate change and initial value

Answer 2

To find the rate of change and initial value between the points (2, 22) and (8, 25), first we need to calculate the change in y and change in x:

Change in y = 25 - 22 = 3
Change in x = 8 - 2 = 6

Next, we can calculate the rate of change by dividing the change in y by the change in x:

Rate of change = Change in y / Change in x = 3 / 6 = 0.5

Finally, to find the initial value, we can plug one of the points into the equation y = mx + b and solve for b (the initial value). Let's use the first point (2, 22):

22 = 0.5(2) + b
22 = 1 + b
b = 22 - 1
b = 21

Therefore, the rate of change between the points (2, 22) and (8, 25) is 0.5 and the initial value is 21.

Answer 3

To find the rate of change and initial value between the points (-5, 8) and (-7, 14), we follow a similar process as before:

Change in y = 14 - 8 = 6
Change in x = -7 - (-5) = -2

Rate of change = Change in y / Change in x = 6 / -2 = -3

To find the initial value, we can plug one of the points into the equation y = mx + b and solve for b. Let's use the first point (-5, 8):

8 = -3(-5) + b
8 = 15 + b
b = 8 - 15
b = -7

Therefore, the rate of change between the points (-5, 8) and (-7, 14) is -3 and the initial value is -7.