Math(word problem)

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For the line joining points A(-1, 3) and B(5, 7):
a.Find the midpoint of the line.
b.Find the distance of the line.
c.Find the slope of the line.
d.Find the y-intercept of the line.
e.What would be the slope of a line perpendicular to this line?

  • Math(word problem) -

    GIVEN: A(-1,3), B((5,7).
    a. X = (-1+5)/ 2 = 2.
    Y = (3 + 7)/2 = 5.
    Mid-point: (2,5).
    b. d^2 = (5 + 1)^2 +(7-3)^2 = 36 + 16
    = 52 d = sqrt (52) = 7.2.
    c. Slope = (7-3) / (5 + 1) = 2/3.
    d. Y = mX + b
    3 = 2/3(-1) + b, b = 3 2/3 = 11/3 =
    y - int.
    e. m2 = -3/2 = neg. reciprocal of m1.

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