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Find the distance between the points (10,7)(10,7) and (10,3)(10,3).\newline____\_\_\_\_ units

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Full solution

Q. Find the distance between the points (10,7)(10,7) and (10,3)(10,3).\newline____\_\_\_\_ units
  1. Calculate Differences: Calculate the difference in x-coordinates and y-coordinates.\newlineDifference in x-coordinates: x2−x1=10−10=0x_2 - x_1 = 10 - 10 = 0\newlineDifference in y-coordinates: y2−y1=3−7=−4y_2 - y_1 = 3 - 7 = -4
  2. Apply Distance Formula: Apply the distance formula: (x2−x1)2+(y2−y1)2\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}.\newlineSubstitute the differences: (0)2+(−4)2\sqrt{(0)^2 + (-4)^2}
  3. Simplify Expression: Simplify the expression inside the square root.\newlineCalculate: 02=00^2 = 0 and (−4)2=16(-4)^2 = 16\newlineSo, 0+16=16\sqrt{0 + 16} = \sqrt{16}
  4. Find Distance: Find the square root to get the distance.\newline16=4\sqrt{16} = 4

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