The length of the point CD is 10.3 units.
The distance formula in coordinate geometry is used to calculate the distance between two given points.
The distance between two points is;
[tex]\rm Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The coordinates of point C are (-5, 3), and the coordinates of point D are (4, -2),
Substitute all the values in the formula
[tex]\rm Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\\rm Distance=\sqrt{(4-(-5))^2+(-2-3)^2}\\\\\rm Distance=\sqrt{(9)^2+(5)^2}\\\\Distance =\sqrt{81+25} \\\\\rm Distance=\sqrt{106}\\\\\rm Distance=10.3[/tex]
Hence, the length of the point CD is 10.3 units.
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