Question

The data in the table illustrate a linear function x -3, 0, 3, 6 y -6, -2, 2, 6 what is the slope of the linear function?

Answer 1

So taking (0,-2) and (-3,-6) then it is -2-(-6)/0-(-3) or 4/3

Answer 2

`slope=(4)/(3)`

Explanation:

Given: The table of linear function.

x : -3 , 0 , 3, 6

y : -6 , -2 , 2, 6

Slope=change in y over change in x

`slope=(-2+6)/(0+3)=(4)/(3)`

Passing point: (0,-2)

Point slope form:

`y-y_1=m(x-x_1)`

`y+2=(4)/(3)(x-0)`

`y=(4)/(3)x-2`

Slope of the linear function
`=(4)/(3)`

Linear function is
`y=(4)/(3)x-2`

Hence, The slope of linear function is
`(4)/(3)`