Write an equation in slope intercept form for the line that passes through the point (2,4) and is parallel to the graph of y = 3x + 10. Slopeintercept form is y = mx + b m is the slope b is the yintercept For the line y = 3x + 10 slope = 3 Parallel lines have equal slopes, therefore the slope of the new line will be 3. y  y1 = m(x  x1) {pointslope form} (x1 , y1) is the point and m is the slope y  4 = 3[x  (2)] {substituted point and slope into pointslope form} y  4 = 3(x + 2) {simplified double negative signs} y  4 = 3x  6 {used distributive property} y = 3x  2 {added 4 to each side to get into slopeintercept form}  Algebra House
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