Can I please get some help with problems (b) and (c)? I'm not sure how to figure it out. Diagram listed below.

Question

asked Sep 20, 2020 80.4k views

1 Answer

Victor Havin · Answer 1 · 2020-09-23T23:56:11+0000

Answer:

The slope of line r and s is
(k-n)/(j-m) .

Explanation:

We are given the lines PQ and P'Q' represented by r and s.

The slope of a line having end points
(x_(1),y_(1)) and
$(x_(2),y_{})$ is given by
(y_(2)-y_(1))/(x_(2)-x_(1)) .

B. Slope of line r.

Since, the line r have end points ( m,n ) and ( j,k ).

Slope =
(k-n)/(j-m) .

C. Slope of line s.

Since, the line r have end points ( m,n+e ) and ( j,k+e ).

Slope =
(k+e-(n+e))/(j-m)

i.e. Slope =
(k+e-n-e)/(j-m)

i.e. Slope =
(k-n)/(j-m)

Hence, the slope of line r and s is
.