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Find the distance between the points (−7,−6)(-7,-6) and (1,9)(1,9). If necessary, round your answer to the nearest tenth.\newline____\_\_\_\_ units

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Full solution

Q. Find the distance between the points (−7,−6)(-7,-6) and (1,9)(1,9). If necessary, round your answer to the nearest tenth.\newline____\_\_\_\_ units
  1. Calculate Differences: Calculate the differences in the x-coordinates and y-coordinates.\newlineDifference in x-coordinates: 1−(−7)=81 - (-7) = 8,\newlineDifference in y-coordinates: 9−(−6)=159 - (-6) = 15.
  2. Use Distance Formula: Use the distance formula: distance=((x2−x1)2+(y2−y1)2)\text{distance} = \sqrt{((x_2 - x_1)^2 + (y_2 - y_1)^2)}. Substitute the differences: distance=(82+152)=(64+225)=289\text{distance} = \sqrt{(8^2 + 15^2)} = \sqrt{(64 + 225)} = \sqrt{289}.
  3. Calculate Square Root: Calculate the square root of 289289. \newline289=17.\sqrt{289} = 17.

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