Question

Find the equation of the line passing through $(-1,3)$ and:
Neither parallel to $x-$axis and nor to $y-$axis.

Answer 1

Using the equation of line we can write

$y-3=\frac{b-3}{a+1}(x+1)$

$⟹(a+1)y-3(a+1)=(b-3)x+b-3$

$⟹(b-3)x-(x+1)y+3a+b=0$