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Find the distance between the points (−8,1)(-8,1) and (−2,−7)(-2,-7). If necessary, round your answer to the nearest tenth. ___\_\_\_ units

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Full solution

Q. Find the distance between the points (−8,1)(-8,1) and (−2,−7)(-2,-7). If necessary, round your answer to the nearest tenth. ___\_\_\_ units
  1. Calculate Differences: Calculate the differences in the x-coordinates and y-coordinates of the points (−8,1)(-8,1) and (−2,−7)(-2,-7).
    Difference in x-coordinates: −2−(−8)=6-2 - (-8) = 6
    Difference in y-coordinates: −7−1=−8-7 - 1 = -8
  2. Use Distance Formula: Use the distance formula: Distance = ((x2−x1)2+(y2−y1)2)\sqrt{((x_2 - x_1)^2 + (y_2 - y_1)^2)}. Substitute the differences: Distance = (62+(−8)2)=(36+64)=100\sqrt{(6^2 + (-8)^2)} = \sqrt{(36 + 64)} = \sqrt{100}
  3. Calculate Square Root: Calculate the square root of 100100 to find the distance.\newlineDistance = 10.010.0 units

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