Find the equation of the linear function represented by the table below in slopeintercept form.
(x,y) (1, 3) (2 1) (3, 1) (4, 3)
Get the slope of the line, by taking two points and finding the change in y over the change in x.
change in y ——————— = slope change in x (1,3) and (2,1) {took the first and second points, it does not matter which two points you choose} 1  (3) ————— = slope {change in y coordinates over change in x coordinates} 2  1 2 — = slope {subtracted in numerator and denominator} 1 slope = 2 Take the slope, along with one of the points, and substitute into slopeintercept form, to find the yintercept. y = mx + b is slopeintercept form m is the slope b is the yintercept (1,3) and slope = 2 {it does not matter which point you choose} 3 = 2(1) + b {substituted 3 for y, 2 for m, and 1 for x} 3 = 2 = b {multiplied 2 by 1} b = 5 {subtracted 2 from each side} yintercept is 5 Substitute the slope and yintercept back into slopeintercept form. slope = 2 and yintercept = 5 y = mx + b {slopeintercept form} y = 2x  5 is the equation of the linear function Ask Algebra House
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