Question

Find the coordinates of the point P that lies along the directed line segment from J(-2, 5) to K(2, -3) and partitions the segment in the ratio of 4 to 1

Answer 1

To find the coordinates of point P that partitions the line segment from J(-2, 5) to K(2, -3) in the ratio of 4 to 1, we can use the section formula which gives us (-6/5, 17/5) as the coordinates of point P.

Step-by-step explanation:

To find the coordinates of the point P that partitions the line segment from J(-2, 5) to K(2, -3) in the ratio of 4 to 1, we can use the concept of section formula. The section formula is given by:

P = ((4/5) * J) + ((1/5) * K)

Substituting the coordinates of J and K into the formula, we get:

P = ((4/5) * (-2, 5)) + ((1/5) * (2, -3))

This simplifies to:

P = (-8/5, 4) + (2/5, -3/5)

Adding the x-coordinates and y-coordinates separately, we get:

P = (-8/5 + 2/5, 4 - 3/5)

This further simplifies to:

P = (-6/5, 17/5)

Therefore, the coordinates of point P are (-6/5, 17/5).