Find the equation of the linear function represented by the table below in slopeintercept form. x y 1 5 2 8 3 11 4 14 Find the slope of the line by finding the change in y over the change in x, using the first two points. (1,5) and (2,8) {first two points} 8  (5)  = slope {change in y over change in x} 2  1 slope = 3 {simplified} Substitute the coordinates of one point, along with the slope, into slopeintercept form, to find the yintercept. (1,5) , m = 3 {first point and slope} y = mx + b {slopeintercept form} 5 = 3(1) + b {substituted} 5 = 3 + b {multiplied} b = 2 {added 3 to each side} slope = 3 and yintercept = 2 Substitute slope and yintercept into slopeintercept form to get the equation of the linear function. y = mx + b {slopeintercept form} y = 3x  2 {substituted} f(x) = 3x  2 {wrote in function notation} Ask the House
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