Find the equation of the linear function represented by the table below in slopeintercept form. x y 1 6 2 10 3 14 4 18 To get the equation, first find the slope of the line by using any two points. Subtract the ycoordinates over the subtraction of the xcoordinates. {change in y over change in x}
(1,6) and (2,10) {the first two points, but any two points will work} 10  (6)  = slope {change in y over change in x} 2  1 4  = slope {subtracted in numerator and denominator} 1 slope = 4 Substitute the slope, along with one of the points, into slopeintercept form, y = mx + b, to find the yintercept. (1,6) and m = 4 {the first point and the slope} y = mx + b {slopeintercept form} 6 = 4(1) + b {substituted 1 in for x, 6 in for y, and 4 in for m} 6 = 4 + b {multiplied} b = 2 {added 4 to each side} yintercept = 2 Substitute the slope and yintercept back into slopeintercept form. y = mx + b {slopeintercept form} y = 4x  2 Ask Algebra House
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