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Find the y-coordinate of point P that lies 1/3 along segment CD, closer to C, where C (6, -5) and D (-3, 4).

Find the y-coordinate of point P that lies 1/3 along segment CD, closer to C, where-example-1

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SOLUTION:

The given ratio is:


1:3

• The given points are ,C(6, -5) and D (-3, 4).

Using the section formula, the coordinate of P is:


\begin{gathered} P=((1(-3)+3(6))/(1+3),(1(4)+3(-5))/(1+3)) \\ P=((-3+18)/(4),(4-15)/(4)) \\ P=((15)/(4),(-11)/(4)) \end{gathered}

Therefore the coordiantes of P


P=((15)/(4),(-11)/(4))

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