Math

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A line intersects the graph of y=x^2 twice. One point has an x-coordinate of -4, and the other point has an x- coordinate of 2.

A. Find the equation of the line.
B. Find the measure of the angle that the line makes with the x-axis.

  • Math -

    when x=-4, y = 16
    when x = 2, y = 4

    two intersection points are (-4,16) and (2,4)
    slope = (4-16)/(2+4) = -12/6 = -2

    equation of line:
    y = -2x + b, but (2,4) lies on it, so
    4 = -4 + b
    b = 8

    equation of line:
    y = -2x + 8

    a line with a slope of -2 makes and angle of
    tan^-1 (-2) or 116.565°

    check: tan 116.565 = -2

  • Math -

    Thank you very very much, I really appreciate this.

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