X 2,8 y22,25 Determine the rate of change in the initial value of the linear function given

Answer 1

To determine the rate of change in the initial value of a linear function, we first need to find the slope of the line that represents the function.

Using the two given points (2,8) and (22,25), we can find the slope using the formula:

m = (y2 - y1) / (x2 - x1)
m = (25 - 8) / (22 - 2)
m = 17 / 20
m = 0.85

So the slope of the linear function is 0.85.

The rate of change in the initial value (y-intercept) of the linear function is equivalent to the slope multiplied by the x-value of one of the given points. Let's choose the point (2,8):

Initial value = y - slope * x
Initial value = 8 - 0.85 * 2
Initial value = 8 - 1.7
Initial value = 6.3

Therefore, the rate of change in the initial value of the linear function is 6.3.