The data in the table illustrate a linear function. What is the slope of the linear function.

x |0|2|4|6|
y|-5|-2|1|4|

a -2/3

b 3/2

c 2/3

d -3/2

Using the formula for calculating the slope of a linear function, we can use the first two data points to find the slope.

slope = (change in y) / (change in x)

slope = (-2 - (-5)) / (2 - 0)

slope = 3/2

Therefore, the slope of the linear function is b) 3/2.