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Find the distance between the points (6,8)(6,8) and (6,4)(6,4).\newline____\_\_\_\_ units

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Q. Find the distance between the points (6,8)(6,8) and (6,4)(6,4).\newline____\_\_\_\_ units
  1. Identify Formula: Step 11: Identify the formula to calculate the distance between two points. Use the distance formula: (x2−x1)2+(y2−y1)2\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}. Here, (x1,y1)=(6,8)(x_1, y_1) = (6, 8) and (x2,y2)=(6,4)(x_2, y_2) = (6, 4).
  2. Substitute Coordinates: Step 22: Substitute the coordinates into the formula.\newlineCalculate x2−x1x_2 - x_1: 6−6=06 - 6 = 0.\newlineCalculate y2−y1y_2 - y_1: 4−8=−44 - 8 = -4.
  3. Square Differences: Step 33: Square the differences.\newlineSquare 00: 02=00^2 = 0.\newlineSquare −4-4: (−4)2=16(-4)^2 = 16.
  4. Add & Find Square Root: Step 44: Add the squared values and find the square root.\newlineCalculate 0+16\sqrt{0 + 16}.\newline16=4\sqrt{16} = 4.

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