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4. Line segment RW has endpoints R(-4,5) and W(6, 20). Point P is on RW such that RP.PW is 2:3. What are thecoordinates of point P?

Sagot :

The coordinates would be P(-3.2, 6.2)

We need to calculate the slope of the segment

[tex]\begin{gathered} m=\frac{20-5}{6+4} \\ m=\frac{15}{10} \\ m=1.5 \end{gathered}[/tex]

The ratio 2:3 splits the segment into 5 sections. We will add 2/5 of the rise to the y-coordinate and 2/5 of the run to the x-coordinate:

[tex]\begin{gathered} -4+\mleft(2/5\mright)\mleft(2\mright)=-4+4/5=-4+0.8=-3.2 \\ 5+\mleft(2/5\mright)\mleft(3\mright)=5+6/5=5+1.2=6.2 \end{gathered}[/tex]

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