Find the equation of the line joining the points (-1, 3) and (4, -2).

Equation of the line passing through the points (x1, y1) and (x2, y2) is

\(y-{{y}_{1}}=\frac{{{y}_{1}}-{{y}_{2}}}{{{x}_{1}}-{{x}_{2}}}\left( x-{{x}_{1}} \right)\)

Hence equation of the required line will be

\(y-3=\frac{3+2}{-1-4}\left( x+1 \right)\Rightarrow x+y-2=0\)

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