r(x) = \\frac{4}{3}x - 2\nevaluate r(-6)

Explanation:

Step1: Substitute x = -6

Substitute x=-6 into $r(x)=\frac{4}{3}x - 2$. $r(-6)=\frac{4}{3}\times(-6)-2$

Step2: Calculate multiplication

First, calculate $\frac{4}{3}\times(-6)$. $\frac{4}{3}\times(-6)=4\times(-2)= - 8$ So, $r(-6)=-8 - 2$

Step3: Calculate subtraction

Calculate -8 - 2. $r(-6)=-10$

Answer:

-10