The coordinates of the centroid is
[tex](-\frac{7}{3},5)[/tex]Explanation:The coordinates of the centroid of a triangle is given as:
[tex](\frac{x_1+x_2+x_3}{3},\frac{y_1+y_2+y_3}{3})[/tex]Using the above formula, we have:
[tex]\begin{gathered} C=(\frac{1+(-2)+(-6)}{3},\frac{5+7+3}{3}) \\ \\ =(-\frac{7}{3},\frac{15}{3}) \\ \\ =(-\frac{7}{3},5) \end{gathered}[/tex]