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Find the distance between the points (8,9)(8,9) and (8,2)(8,2).\newline____\_\_\_\_ units

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Q. Find the distance between the points (8,9)(8,9) and (8,2)(8,2).\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 are (x1,y1)=(8,9)(x_1, y_1) = (8, 9) and (x2,y2)=(8,2)(x_2, y_2) = (8, 2).\newlineCalculate (x2−x1)2(x_2-x_1)^2: (8−8)2=02=0(8-8)^2 = 0^2 = 0.
  2. Calculate x2x^2: Step 22: Calculate (y2−y1)2(y_2-y_1)^2: (2−9)2=(−7)2=49(2-9)^2 = (-7)^2 = 49.
  3. Calculate y2y^2: Step 33: Compute the square root of the sum of squares from previous steps: 0+49=49=7\sqrt{0 + 49} = \sqrt{49} = 7.

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