Answer:
The slope of line r and s is [tex]\frac{k-n}{j-m}[/tex].
Step-by-step explanation:
We are given the lines PQ and P'Q' represented by r and s.
The slope of a line having end points [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{})[/tex] is given by [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex].
B. Slope of line r.
Since, the line r have end points ( m,n ) and ( j,k ).
Slope = [tex]\frac{k-n}{j-m}[/tex].
C. Slope of line s.
Since, the line r have end points ( m,n+e ) and ( j,k+e ).
Slope = [tex]\frac{k+e-(n+e)}{j-m}[/tex]
i.e. Slope = [tex]\frac{k+e-n-e}{j-m}[/tex]
i.e. Slope = [tex]\frac{k-n}{j-m}[/tex]
Hence, the slope of line r and s is [tex]\frac{k-n}{j-m}[/tex].
