Write an equation of the line containing the point (8,4), and parallel to the line 4x  9y = 5. Find slope of given line first.
4x  9y = 5 9y = 4x + 5 {subtracted 4x from both sides} y = (4/9)x  (5/9) {divided both sides by 9} slope = 4/9 Parallel lines have equal slopes. (8,4) , m = 4/9 y  y1 = m(x  x1) {pointslope form} y  (4) = (4/9)(x  8) {substituted into pointslope form} y + 4 = (4/9)(x  8) {simplified double negative signs} y + 4 = (4/9)x  32/9 {used distributive property} y = (4/9)x  68/9 {subtracted 4 from both sides, getting common denominators} © Algebra House
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