The value of $x$, if the slope of the line joining $(-8,$,11), $(2, x)$ is $left(frac{-4}{3} ight)$ will be

We know that

Slope of a line $=frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$frac{-4}{3}=frac{x-11}{2+8}$

$Rightarrow frac{-4}{3}=frac{x-11}{10} Rightarrow-40=3 x-33$

$Rightarrow-40+33=3 x$

$Rightarrow-7=3 x$

$Rightarrow x=frac{-7}{3}$