Find the equation of the line, in slopeintercept form, passing through the points (2,4) and (5,13). Find slope first. (2,4) , (5,13) 13  4  = slope {substituted into slope formula} 5  2 9  = slope {simplified} 3 slope = 3 {divided} Choose one of the points and substitute in, with the slope, into pointslope formula. (2,4) , m = 3 y  y1 = m(x  x1) {pointslope formula} y  4 = 3(x  2) {substituted into pointslope formula} y  4 = 3x  6 {used distributive property} y = 3x  2 {added 4 to both sides} © Algebra House
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