The distance between points P(–1, 1) and Q(5, –7) is ______.

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The distance between points P(–1, 1) and Q(5, –7) is 10 cm. Explanation: Let P(x1, y1) = P(–1, 1) and Q(x2, y2) = Q(5, –7) Here, x1 = –1, y1 = 1, x2 = 5, y2 = –7 By distance formula, d(P, Q) = `sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2) = sqrt([5 - (-1)]^2 + (-7 - 1)^2) = sqrt(36 + 64) = sqrt(100)` = 10 cm

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