Hi

Let x represent 

Using the point-slope formula,  to find slope

 (5, 12) and 

(-7, 14)  m = (12-14)  / [5-(-7)] = -2/12 = -1/6

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.  

 y = (-1/6)x + b  |using ordered pair Pt(5,12) to solve for b

 12 = -5/6  + b

 12  5/6 = b

 y = (-1/6)x + 77/6





 

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