Question

Write a linear function (y=mx+b) or an exponential function (y=a(b)x) that models the data.

Answer 1

To model the given data points, we can use a linear function of the form y = mx + b.

First, we need to find the slope (m) of the line:

m = (y2 - y1) / (x2 - x1)

m = (-6 - (-2)) / (1 - 0)

m = -4/1

m = -4

Now, we can use the slope and one of the points to find the y-intercept (b):

y = mx + b

-2 = (-4)(0) + b

b = -2

Therefore, the linear function that models the given data is:

y = -4x - 2