Answer:
[tex]slope=\dfrac{4}{3}[/tex]
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
[tex]slope=\dfrac{-2+6}{0+3}=\dfrac{4}{3}[/tex]
Passing point: (0,-2)
Point slope form:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y+2=\dfrac{4}{3}(x-0)[/tex]
[tex]y=\dfrac{4}{3}x-2[/tex]
Slope of the linear function [tex]=\dfrac{4}{3}[/tex]
Linear function is [tex]y=\dfrac{4}{3}x-2[/tex]
Hence, The slope of linear function is [tex]\dfrac{4}{3}[/tex]
