Determine the missing information in the paragraph proof. Given: line pq contains points (w, v) and (x, z) and line p'q' contains points (w + a, v + b) and (x + a, z + b). Lines pq and p'q' are parallel. Prove: parallel lines have the same slope. On a coordinate plane, 2 lines are shown. Line q p goes through (w, v) and (x, z). Line q prime p prime goes through (w + a, v + b) and (x + a, z + b). Since slope is calculated using the formula m = startfraction v 2 minus v 1 over x 2 minus x 1 endfraction, the slope of both lines is equivalent to . It is given that the lines are parallel, and we calculated that the slopes are the same. Therefore, parallel lines have the same slopes. Startfraction v minus z over w minus x endfraction startfraction w minus x over v minus z endfraction startfraction v minus z + b over x minus z + a endfraction startfraction w minus x + a over v minus z + b endfraction.