alleryStart learning →Find the distance between the points $Q(-2, -3)$ and $R(4, 1.5)$ in the xy-plane.
A7.5
B6
C4.5
D10.5
Answer & Solution
Correct answer: A. 7.5
Form a right triangle with horizontal leg $4 - (-2) = 6$ and vertical leg $1.5 - (-3) = 4.5$.
By Pythagoras, $QR = \sqrt{6^2 + 4.5^2} = \sqrt{36 + 20.25} = \sqrt{56.25} = 7.5$.
Options B and C give the legs alone
option D adds the legs without squaring.
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