Question:

What is the length, slope, x intercept, midpoint and equation of a line?

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P(9,-1) and Q(-6,-11)

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  1. Length = sqrt[(9+6)^2 + (-1+11)^2)] = sqrt325 = 5 sqrt13

    Slope = (-1 + 11) / (9 + 6) = 10/15 = 2/3

    Equation of line:  y = (2/3)x + b; -11 = (2/3)(-6) + b; b = -7

    y = (2/3)x - 7

    X-intercept: 0 = (2/3)x - 7;  x = 10.5

    Midpoint = [-6 + 0,5(9 + 6), -11 + 0.5(-1+11)] = (1.5, -6)

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