Point j(-2,1) and point K(4,5) form line segment JK. For the point P that partitions JK in the ratio 3:7, what is the y- coordinate of P?
Question
Answer:
If [tex] J(x_1,y_1) [/tex] and [tex] K(x_2,y_2) [/tex] are two points, then [tex] P(\frac{nx_1+mx_2}{m+n},\frac{ny_1+my_2}{m+n}) [/tex] partitions JK in the ratio, [tex] m:n [/tex].The y-coordinate of P is[tex] y=\frac{ny_1+my_2}{m+n}=\frac{7*1+3*5}{3+7}=\frac{11}{5} [/tex]
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11 months ago
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