Write the equation of the line through passing through (3,2) and parallel to the line 4x - y = 5. Parallel lines have equal slopes Slope-intercept form is y = mx + b m is the slope b is the y-intercept 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) {point-slope form} y - 2 = 4(x - 3) {substituted point and slope into point-slope form} y - 2 = 4x - 12 {used distributive property} y = 4x - 10 {added 2 to each side} - Algebra House
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