Hi,

Using the standard slope-intercept form for an equation of a line y = mx + b

  where m is the slope and b the y-intercept.

line passing through the point (7,3) and parallel to the line joining the points 

(8,7) and 

(1,6)  m = 1/7  



New Line parallel to the above (Note:  same slope) 

 y = (1/7)x + b

 3 = (1/7)·7 + b   |Using ordered pair (x,y):(7,3)  to solve for b

 2 = b

 y = (1/7)x + 2  OR   x-7y = 14 

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