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Question

Find equation of line passing through the points (1,1) and (2,4).

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Solution

We know that the equation of line passing through points(x1,y1) and (x2,y2) is
yy1=y2y1x2x1(xx1)
Therefore equation of line passing through points (1,1) and (2,4) is
(y1)=412+1(x+1)
(y1)=53(x+1)
3(y1)=5(x+1)
3y3=5x5
5x+3y+2=0

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