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Find the distance between the points (2,10)(2,10) and (9,10)(9,10).\newline____ units

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Q. Find the distance between the points (2,10)(2,10) and (9,10)(9,10).\newline____ units
  1. Calculate Differences: To find the distance between two points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2), we use the distance formula: d=((x2−x1)2+(y2−y1)2)d = \sqrt{((x_2 - x_1)^2 + (y_2 - y_1)^2)}. Here, (x1,y1)=(2,10)(x_1, y_1) = (2, 10) and (x2,y2)=(9,10)(x_2, y_2) = (9, 10).
  2. Plug into Formula: Calculate the differences: x2−x1=9−2=7x_2 - x_1 = 9 - 2 = 7 and y2−y1=10−10=0y_2 - y_1 = 10 - 10 = 0.
  3. Simplify Square Root: Plug the differences into the distance formula: d=(7)2+(0)2=49+0=49d = \sqrt{(7)^2 + (0)^2} = \sqrt{49 + 0} = \sqrt{49}.
  4. Simplify Square Root: Plug the differences into the distance formula: d=(7)2+(0)2=49+0=49d = \sqrt{(7)^2 + (0)^2} = \sqrt{49 + 0} = \sqrt{49}. Simplify the square root: 49=7\sqrt{49} = 7.

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