Question

find rate of change
1, 4
-3, 8

Answer 1

To find the rate of change between the two points (-3, 8) and (1, 4), we need to calculate the change in y divided by the change in x.

Change in y = 4 - 8 = -4
Change in x = 1 - (-3) = 4

Rate of change = Change in y / Change in x
Rate of change = -4 / 4
Rate of change = -1

Therefore, the rate of change between the two points is -1.

Answer 2

what is the initial value

Answer 3

To find the initial value, we can use the point-slope form of a linear equation:

y - y1 = m(x - x1)

Where:
m = rate of change
x1, y1 = coordinates of one point

Let's use the first point (-3, 8) and the rate of change -1:

y - 8 = -1(x - (-3))
y - 8 = -x - 3
y = -x + 5

Therefore, the initial value (y-intercept) is 5.