You can put this solution on YOUR website! Given A(-2,1) B(3,-2)
Slope=(y2-y1)/(x2-x1)
Slope=(-2-1)/((3-(-2))
Let us represent the slope here as m
Thus the equation of the line is
m(x-x1)=(y-y1)
Henceforth,
(-3/5)(x+2)=(y-1)
Thus the equation of the line is
3x+5y+1=0