Question

What are the coordinates of the point on

the directed line segment from (1, 2) to
(8,9) that partitions the segment into a
ratio of 6 to 1?

Answer 1

Explanation:

=√((x2 – x1)² + (y2 – y1)²)

=√((8 – 1)² + (9 – 2)²)

=√((7)² + (7)²)

=√(49 + 49)
=√(2 • 49)

=7√2

Divide the line segment into 7 parts equally:

=(7√2)/7

=1√2

Multiply to 6 and 1 to get 6:1 ratio:

= 6(1√2)

= 6√2

Final Answer: 6√2 and √2.