Step 1 :The distance between two points (x1, y1) and (x2, y2) is given by the distance formula \(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\).
Step 2 :Substitute the given points into the distance formula: \(d = \sqrt{(5 - 2)^2 + (7 - (-3))^2}\).
Step 3 :Simplify the expression: \(d = \sqrt{3^2 + 10^2}\).
Step 4 :Then, calculate the value: \(d = \sqrt{9 + 100}\).
Step 5 :Finally, simplify to get the final answer: \(d = \sqrt{109}\).