Question

Find the coordinates of point P on →AB that partitions the segment into the given ratio AP to PB .

Answer 1

The line segment AB is divided at point P, which has coordinates P(0,-7.5)

A line segment is a section of a line that connects two locations to create a straight line or we can say that is connects two distinct points together to form a single line. It is extendable to either side.

Given are,

A line segment AB with coordinates of A(0,0 ) and B(-15,0) respectively

Two minor line segments, AP and PB, are created from the line segment AB by the provided point P

We must determine the dividing point's coordinates, or P.

We'll apply the formula provided,

The coordinates of the point P are given by  = ($\frac{x1+x2}{2}$,$\frac{y1+y2}{2}$ )

Now, x1 = 0, x2 = 0, y1 = -15, y2 = 0

Putting values in the formula, we get

($\frac{0+0}{2}$, $\frac{0-15}{2}$)

(0,-7.5)

Hence, the point P which partitions the line segment AB have coordinates as P(0,-7.5)

To learn more about Line Segment, here

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