Find the equation of the linear function represented by the table below in slopeintercept form.
x y 1 9 2 13 3 17 4 21
Find the slope of the line by finding the change in y over the change in x, using the first two points.
(1,9) and (2,13) {first two points} 13  (9)  = slope {change in y over change in x} 2  1 slope = 4 {simplified} Substitute the coordinates of one point, along with the slope, into slopeintercept form, to find the yintercept. (1,9) , m = 4 {first point and slope} y = mx + b {slopeintercept form} 9 = 4(1) + b {substituted} 9 = 4 + b {multiplied} b = 5 {added 4 to each side} slope = 4 and yintercept = 5 Substitute slope and yintercept into slopeintercept form to get the equation of the linear function. y = mx + b {slopeintercept form} y = 4x  5 {substituted} f(x) = 4x  5 {wrote in function notation}
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