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

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)

Answer 2

The answer should be A) v-z w-x

Explanation: