The slope of Line P Q is (v - z) divided by (w - x). The slope of Line P prime Q prime is
(v + b) - (z +b) divided by (w + a) - (x + a). Both lines have a slope that is (v - z) divided by (w - x). Therefore, the lines are parallel.
Slope of line :
Line slope is a measure of the slope and direction of a line. Finding the slope of a line in the coordinate plane helps predict whether the line is parallel or perpendicular without actually using a compass. The slope of a line is defined as the change in y-coordinate with respect to the change in x-coordinate of the line.
The formula for the slope is
m = (y₂ - y₁)/ (x₂ - x₁)
Where (x₁, y₁) and (x₂, y₂) are the points
We have given a line PQ passing through points (x,z ) and (w,v) then slope of line is
m = ( v- z)/(w-x) --(1)
that is line lie in XZ- plane .
The slope of line p prime and q prime
m' = (( v- b) - (z-b))/(w-a)- (x-a)
= (v -b -z + b) /(w-a -x + a)
= (v-z)/(w-x) --(2)
from (1) and (2) we get , m = m'
So, both lines are parallel lines .
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Complete question:
The slope of Line P Q is (v - z) divided by ________. The slope of Line P prime Q prime is _________ divided by (w + a) - (x + a). Both lines have a slope that is _______ divided by _______. Therefore, the lines are _______.
