To find the point dividing the line joining (-1,7) and (4,-3) in the ratio 2:3, we use the section formula. The coordinates are ((2*4 + 3*(-1))/(2+3), (2*(-3) + 3*7)/(2+3)), which simplifies to (1, 3). This reminds me of marking precise points on my engineering drawings, though my father says such exactness rarely applies to the old, worn-out radios he repairs, where the fixing point is always a little adjusted by hand.
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