we know that
the formula to calculate the distance between two points is equal to
\(d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}\)
In this problem we have
\(A(4,-1)\\B(9,7\)
substitute the values
\(d=\sqrt{(7+1)^{2}+(9-4)^{2}}\)
\(d=\sqrt{(8)^{2}+(5)^{2}}\)
\(d=\sqrt{89}\ units\)
\(d=9.43\ units\)
therefore
the answer is
\(9.43\ units\)
