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Find the distance between the points (8,9)(8,9) and (8,3)(8,3).\newline____\_\_\_\_ units

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Q. Find the distance between the points (8,9)(8,9) and (8,3)(8,3).\newline____\_\_\_\_ units
  1. Apply distance formula: Step 11: Apply the distance formula (x2−x1)2+(y2−y1)2\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}.\newlineGiven points (x1,y1)=(8,9)(x_1, y_1) = (8, 9) and (x2,y2)=(8,3)(x_2, y_2) = (8, 3).\newlineCalculate (x2−x1)2(x_2-x_1)^2: (8−8)2=02=0(8-8)^2 = 0^2 = 0.
  2. Calculate squared differences: Step 22: Calculate (y2−y1)2(y_2-y_1)^2: (3−9)2=(−6)2=36(3-9)^2 = (-6)^2 = 36.
  3. Compute square root: Step 33: Compute the square root of the sum of squares: 0+36=36=6\sqrt{0 + 36} = \sqrt{36} = 6.

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