algebra

x -2,-1,0,1,2, and y -5,-2,1,4,7

a. Write out an equation for f(x). Assume the function is linear

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  1. If it is linear then the general equation for a straight line
    y=mx+c
    must apply

    Take two sets of coordinates and plug these in

    -5=-2m+c
    -2=-1m+c

    solve for m and c

    m=3
    c=1

    check using another set of points

    7=2x3+1 which is fine

    so equation is

    y=3x+1

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