Find a linear function f, given f(16)=-2 and f(-12)=-9. Then find f(0)

Discussion in 'Calculator Requests' started by math_celebrity, Jun 25, 2019.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    Find a linear function f, given f(16)=-2 and f(-12)=-9. Then find f(0).

    We've got 2 points:
    (16, -2) and (-12, -9)

    Calculate the slope (m) of this line using:
    m = (y2 - y1)/(x2 - x1)
    m = (-9 - -2)/(-12 - 16)
    m = -7/-28
    m = 1/4

    The line equation is denoted as:
    y = mx + b

    Let's use the first point (x, y) = (16, -2)
    -2 = 1/4(16) + b
    -2 = 4 + b

    Subtract 4 from each side, and we get:
    b = -6

    So our equation of the line is:
    y = 1/4x - 6

    The questions asks for f(0):
    y = 1/4(0) - 6
    y = 0 - 6
    y = -6
     

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