Hi

Using the point-slope formula, 

P(0, -4), 

Q(5, 1)  m = (-4-1) / (0-5) = -5/-5 = 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 = 1*x + b  |using ordered pair Pt(0,-4) to solve for b

 -4 = 1*0 + b

 -4 = b

 y = x -4

 x - y = 4 in standard form 

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