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.  

equation of line with m=2/3 and passing thru Pt((5,-3)

  y = (2/3)x + b

 -3= (2/3)*5 + b  |Using ordered pair Pt(5,-3) to solve for b

 -19/3 = b

 y = (2/3)x -19/3   OR  2x -3y = 19 in standard form 

Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!
 An equation of a line through a point P(x1 , y1) with slope m is given by



 





Substitute  ,  (already given) and  in the point slope form of a line

















































check:



graph



 

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