Hi

 equation of the line passing Through (2,3) (-4,9)

Using the point-slope formula, 

( 2,3) 

(-4,9)   m = -6/6 = -1



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 = -x + b

 3 = -1*2 + b  |using ordered pair (2,3) to solve for b

 5 = b

   y = -x + 5  Or x + y = 5 in standard form



     

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