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

Answer:

$slope=\dfrac{4}{3}$

Step-by-step 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

$slope=\dfrac{-2+6}{0+3}=\dfrac{4}{3}$

Passing point: (0,-2)

Point slope form:

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

$y+2=\dfrac{4}{3}(x-0)$

$y=\dfrac{4}{3}x-2$

Slope of the linear function $=\dfrac{4}{3}$

Linear function is $y=\dfrac{4}{3}x-2$

Hence, The slope of linear function is $\dfrac{4}{3}$

Answer 2

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