The distance between 2 endpoints on a coordinate grid can be calculated using the following formula;
[tex]\begin{gathered} d^2=(x_2-x_1)^2+(y_2-y_1)^2_{} \\ A(-4,2),B(8,6) \\ x1=-4,x2=8,y1=2,y2=6 \\ d^2=(8-\lbrack-4)^2+(6-2)^2 \\ d^2=(8+4)^2+(4)^2 \\ d^2=12^2+4^2 \\ d^2=144+16 \end{gathered}[/tex]The correct answer therefore is option D;
c^2= 16 + 144