The distance between the points is option (a) 13 units
What is Distance?
Distance is a numerical measurement of how far apart objects or points are.
What is Coordinate system?
In geometry, a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.
Given,
The coordinates of the points are (-6,2) and (6,-3)
Distance between the points = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} }[/tex]
[tex]=\sqrt{(6--6)^{2}+(-3-2)^{2} }\\=\sqrt{12^{2}+(-5)^{2} }\\ =\sqrt{144+25} \\=\sqrt{169}[/tex]
= 13 units
Hence, the distance between the two points are option (a) 13 units
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