What will be the equation of a line passing through the point (–4, 3) and having slope $\frac{1}{2}$ ?

Let the equation of line be $y-y_{1}=m\left(x-x_{1}\right)$

Here, $m=\frac{1}{2}$

and $x_{1}=-4, y_{1}=3$

$\Rightarrow$ Equation of line be

$y-3=\frac{1}{2}(x+4)$

$2 y-6=x+4$

$x-2 y+10=0$