Find the coordinates of the point which divid | vedclass

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Question

(A) Let $P(x, y)$ be the required point that divides the line segment joining $A(-1, 7)$ and $B(4, -3)$ in the ratio $m:n = 2:3$.Using the section for

Vedclass · Accepted Answer

($1$,$3$)

Vedclass · Answer

(A) Let $P(x, y)$ be the required point that divides the line segment joining $A(-1, 7)$ and $B(4, -3)$ in the ratio $m:n = 2:3$.Using the section formula:$x = \frac{mx_2 + nx_1}{m + n} = \frac{2(4) + 3(-1)}{2 + 3} = \frac{8 - 3}{5} = \frac{5}{5} = 1$$y = \frac{my_2 + ny_1}{m + n} = \frac{2(-3) + 3(7)}{2 + 3} = \frac{-6 + 21}{5} = \frac{15}{5} = 3$Therefore,the coordinates of the point are $(1, 3)$.

Find the coordinates of the point which divides the line segment joining the points $(-1, 7)$ and $(4, -3)$ in the ratio $2:3$.

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