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Find the distance between the points (9,3)(9,3) and (6,7)(6,7).\newline\newlineWrite your answer as a whole number or a fully simplified radical expression. Do not round.\newline\newline__\_\_ units

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Q. Find the distance between the points (9,3)(9,3) and (6,7)(6,7).\newline\newlineWrite your answer as a whole number or a fully simplified radical expression. Do not round.\newline\newline__\_\_ units
  1. Identify Coordinates and Formula: Identify the coordinates of the two points and the distance formula.\newlineThe coordinates are given as (9,3)(9,3) for the first point and (6,7)(6,7) for the second point. The distance formula is ((x2−x1)2+(y2−y1)2)\sqrt{((x_2-x_1)^2 + (y_2-y_1)^2)}.
  2. Substitute into Formula: Substitute the coordinates into the distance formula.\newlineDistance: (6−9)2+(7−3)2\sqrt{(6-9)^2 + (7-3)^2}
  3. Calculate Differences: Calculate the differences (6−9)(6-9) and (7−3)(7-3).(6−9)=−3(6-9) = -3 and (7−3)=4(7-3) = 4
  4. Square the Differences: Square the differences.\newline(−3)2=9(-3)^2 = 9 and (4)2=16(4)^2 = 16
  5. Add Squares: Add the squares of the differences.\newline9+16=259 + 16 = 25
  6. Take Square Root: Take the square root of the sum to find the distance. 25=5\sqrt{25} = 5

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