Question - Calculating Distance Between Two Points on a Coordinate Plane
mathotherdistance formuladistance between two pointscoordinate plane calculationpythagorean theorem in geometry
Solution:
To find the distance between two points on a coordinate plane, you can use the distance formula, which is derived from the Pythagorean theorem. The distance formula is:$$ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} $$The two points you have are (2, -7) and (8, -7). Plugging these into the formula gives:$$ x_1 = 2, y_1 = -7 $$$$ x_2 = 8, y_2 = -7 $$Now compute the distance:$$ d = \sqrt{(8 - 2)^2 + (-7 - (-7))^2} $$$$ d = \sqrt{(6)^2 + (0)^2} $$$$ d = \sqrt{36 + 0} $$$$ d = \sqrt{36} $$$$ d = 6 $$So the distance between the points (2, -7) and (8, -7) is 6 units.
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