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.
Q'(w+a, v+b)
Q(u, v)
P'(x+a, z+b)
P(x, z)
Since slope is calculated using the formula m = -
the slope of both lines is equivalent to
given that the lines are parallel, and we calculated that
the slopes are the same. Therefore, parallel lines have
the same slopes.
O
V-Z
W-X
Ow-x
V-Z
OV-2+b
x-240
V₂-V1
X₂-X1
It is
Ow-x+a
v-2+b