Write the equation of the line through passing through (3,2) and parallel to the line 4x  y = 5. Parallel lines have equal slopes Slopeintercept form is y = mx + b m is the slope b is the yintercept 4x  y = 5 y = 4x + 5 {subtracted 4x form each side} y = 4x  5 {divided each side by 1} slope of given line is 4 (3,2) , m = 4 {the point and slope} y  y1 = m(x  x1) {pointslope form} y  2 = 4(x  3) {substituted point and slope into pointslope form} y  2 = 4x  12 {used distributive property} y = 4x  10 {added 2 to each side}  Algebra House
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