Question

Point J(-2,1) and point K(4,5) form line segment JK. For the point P that partions JK in the ratio 3:7, what is the y- coordinate of P?

Answer 1

`\bf ~~~~~~~~~~~~\textit{internal division of a line segment} \\\\\\ J(-2,1)\qquad K(4,5)\qquad \qquad \stackrel{\textit{ratio from J to K}}{3:7} \\\\\\ \cfrac{J\underline{P}}{\underline{P} K} = \cfrac{3}{7}\implies \cfrac{J}{K} = \cfrac{3}{7}\implies 7J=3K\implies 7(-2,1)=3(4,5)\\\\ -------------------------------`


`\bf P=\left(\cfrac{\textit{sum of`