What is the distance between the points (4, (-2) and (-5,3) sqrt (28) sqrt (2) sqrt (106) sqrt (26)

To find the distance between two points \((x_1, y_1)\) and \((x_2, y_2)\) in a coordinate plane, we can use the distance formula:<br /><br />\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]<br /><br />Given the points \((4, -2)\) and \((-5, 3)\), we can substitute these values into the distance formula:<br /><br />\[ d = \sqrt{((-5) - 4)^2 + (3 - (-2))^2} \]<br />\[ d = \sqrt{(-9)^2 + (5)^2} \]<br />\[ d = \sqrt{81 + 25} \]<br />\[ d = \sqrt{106} \]<br /><br />Therefore, the distance between the points \((4, -2)\) and \((-5, 3)\) is \(\sqrt{106}\).