Question

look at this table:
x
-10, -9, -8, -7, -6

y
-65, -59, -53, -47, -41

write a linear functioon (y=mx+b) or an exponential function (y=a(b)^) that models the data.

y=

Answer 1

are you sure?

Answer 2

y = 6x - 5

Answer 3

I apologize, that was incorrect. Let me try again.

To find the linear function that models the data, we need to find the slope (m) and y-intercept (b).

From the table:
x: -10, -9, -8, -7, -6
y: -65, -59, -53, -47, -41

Let's find the slope:
m = (y2 - y1) / (x2 - x1)
m = (-59 - (-65)) / (-9 - (-10))
m = (6) / (1)
m = 6

Now, let's find the y-intercept by substituting a point from the table, such as (-10, -65), into the equation y = mx + b:

-65 = 6(-10) + b
-65 = -60 + b
b = -65 + 60
b = -5

Therefore, the linear function that models the data is:
y = 6x - 5