Look at this table:
x y
–
1 2
0 8
1 14
2 20
3 26
Write a linear function (y=mx+b) or an exponential function (y=a(b)x) that models the data.
y=
The given data appears to form a linear pattern. Let's calculate the slope (m) and y-intercept (b) using the two points (0, 8) and (1, 14).
Slope (m) = (y2 - y1) / (x2 - x1)
= (14 - 8) / (1 - 0)
= 6
Using the point-slope form of a linear equation (y - y1) = m(x - x1), we can substitute (0, 8) to find the y-intercept (b).
(y - 8) = 6(x - 0)
y - 8 = 6x
y = 6x + 8
So, the linear function that models the data is y = 6x + 8.