Find the equation of the line that passes through the points A (2, 3) and B (5, -7)

10x+3y=29

Step-by-step explanation:

Given points:(x1,y1)=(2,3)

                     (x2,y2)=(5,-7)

We know, the equation of line passing through two points is given by,

   y-y1={(y2-y1)/(x2-x1)}*(x-x1)

Hence,y-3={(-7-3)/(5-2)}*(x-2)

       or,y-3=(-10/3)*(x-2)

       or,3y-9= -10x+20

        or,3y+10x=20+9

        or,10x+3y=29 is the required equation.

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step-by-step explanation:

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