Write an equation of a line, in slope-intercept form, which passes through points (4,6) and (6,12) (4,6) , (6,12) y2 - y1 --------- = slope x2 - x1 12 - 6 -------- {substituted coordinates into slope formula} 6 - 4 6 --- {subtracted on top and bottom} 2 slope = 3 {divided 6 by 2} Point-slope formula is: y - y1 = m(x - x1) (4,6), m = 3 y - 6 = 3(x - 4) {substituted slope and first point into point-slope formula} y - 6 = 3x - 12 {used distributive property} y = 3x - 6 {added 6 to both sides} © Algebra House
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