The endpoints of the directed line segment AB are A(-4,2) and B(5,8. FIND THE COORDINATES OF POINT P ALONG AB SO THE RATIO OF AP TO PB IS 1 TO5

Answer 1

Draw a figure and remember the geometry of parallel lines and similar triangles!

The x distance between the points is 9.

1/6 of that distance is 1.5

Therefore the abscissa of the required point is -2.5

The y distance between the points is 6.

1/6 of that distance is 1

Therefore the ordinate of the required point is 3.