Question

find the coordinates of the point p that divides the direct line segment from A to B in the given ratio A ( -9,5) B (15,-11)7 to 1

Answer 1

`\bf ~~~~~~~~~~~~\textit{internal division of a line segment} \\\\\\ A(-9,5)\qquad B(15,-11)\qquad \qquad \stackrel{\textit{ratio from A to B}}{7:1} \\\\\\ \cfrac{A\underline{p}}{\underline{p} B} = \cfrac{7}{1}\implies \cfrac{A}{B} = \cfrac{7}{1}\implies 1A=7B\implies 1(-9,5)=7(15,-11)\\\\ -------------------------------`


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