Mathematics

Problem

Line

L_1

passes through the points

A(k,2)

and

B(4,6)

. Another line

L_2

passes through the points

C(-1,7)

and

D(2,13)

. a. (i) Find the value of

k

so that

L_1

is parallel to

L_2

. b. (ii) Give a brief geometrical explanation to justify why the value of

k

obtained in part (i) guarantees that the two lines are parallel.