Question

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. Since slope is calculated using the formula , 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.

Answer 1

Answer:

The answer is A) v-z / w-x

Answer 2

Slope = change in y / change in x
Slope of PQ = (z - v) / (x - w)

Slope of P'Q' = (z + b - (v + b)) / ((x + a) - (w + a))
Slope of P'Q' = (z - v) / (x - w)

The slopes of both lines are equivalent to 
(z - v) / (x - w)