The equation of the line passing through points (3,2) and (5,8) in the form of Ax+By=C will be written as follows: equation of the line is given by the formula: a(x-x1)=y-y1 where a is the slope a=(y-y1)/(x-x1) thus using our values: a=(8-2)/(5-3)=6/2=3 thus the equation of the line will be: 3(x-3)=y-2 simplifying the above and writing in the form of Ax+By=C we shall have: 3x-9=y-2 3x-y=-2+9 3x-y=7 thus 3x-y=7 is in the form of Ax+By=C where A=3, B=-1 and C=7
