Find the equation of the linear function represented by the table below in slopeintercept form.
x y 1 1 2 0 3 1 4 2
To get the equation of a line, you need a point and the slope. To find the slope, choose any two points, then find the change in y over the change in x.
(1,1) and (2,0) are two points on the line. 0  (1)  = slope {change in ycoordinates over change in xcoordinates} 2  1 1  = slope {subtracted in numerator and denominator} 1 slope = 1 {reduced} Substitute a point and the slope into slopeintercept form. slope is 1 and a point is (2,0) y = mx + b {slopeintercept form} 0 = 1(2) + b {substituted 2 for x, 0 for y, and 1 for m into slopeintercept form} 0 = 2 + b {multiplied 1 by 2} b = 2 {subtracted 2 from each side} the yintercept is 2 Substitute the slope and yintercept back into slopeintercept form. y = mx + b {slopeintercept form} y = 1x  2 {substituted 1 for m (the slope) and 2 for b (the yintercept} y = x  2 is the equation of the line. Ask Algebra House
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