Find the equation of the linear function represented by the table below in slopeintercept form.
x y 1 1 2 3 3 5 4 7
Slopeintercept form is y = mx + b
m is the slope b is the yintercept Choose two points and find the slope of the line. (4,7) and (3,5) are two points change in y  = slope change in x 5  (7)  = slope 3  4 2  = slope 1 slope = 2 Substitute one of the points, along with the slope, into slopeintercept form to get the yintercept. slope is 2 and point is (3,5) {any point will work} y = mx + b {slopeintercept form} 5 = 2(3) + b {substituted 5 for y, 2 for m, and 3 for x} 5 = 6 + b {multiplied 2 by 3} b = 1 {add 6 to each side} yintercept = 1 Substitute slope and yintercept into slopeintercept form. y = mx + b {slopeintercept form} y = 2x + 1 {substituted} Ask Algebra House
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