Question 85245
The equation of the line containing the two points is given by:


(x1, y1) and (x2, y2) is given by :  


{{{(y - y1)/(y2 - y1) =  (x - x1)/(x2 - x1)}}}


The given co-ordinates are:  (-3, 7) and (5, -1) Substituting for the co-ordiantes for the above formula we get: 


{{{(y - 7)/(-1 - 7) =  (x - (-3))/(5 - (-3))}}}


==> {{{ (y - 7)/(-8) = (x + 3)/(8) }}} 


==> {{{(y - 7) = -(x + 3)}}} 


==> y - 7 = - x - 3  


==> y - 7 + x + 3 = 0 



==> x + y - 4 = 0 


is the equation of the straight line


thus, the solution

Regards
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