If the point $C(-1, 2)$ divides internally the line segment joining $A(2, 5)$ and $B(x, y)$ in the ratio $3 : 4$, find the coordinates of $B$.

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Accepted Answer

Step 1: Using section formula:
$-1 = \frac{3x + 8}{7} \Rightarrow x = -5$
Step 2: $2 = \frac{3y + 20}{7} \Rightarrow y = -\frac{6}{3} = -2$
$	herefore$ Coordinates of $B$ are $(-5, -2)$.

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