find the linear function, graph and indicate the growth. passes through (27; -85) and (-17; 47)

The growth of the function is indicated by its slope, which is : $$ m=\frac{47-\left(-85\right)}{-17-27}=\frac{132}{-44}=-3 $$, From the slope of the line, it is clear that graph of the line is decreasing with unit increase in x by 3. Thus, the equation of the line is: $$ \frac{y-47}{x-\left(-17\right)}=-3\xrightarrow{}y-47=-3\left(x+17\right) $$ $$ y-47=-3x-51\xrightarrow{}y=-3x-51+47 $$ $$ y=-3x-4 $$