A graph of a linear equation passes through ( -2,0) & (0,-6) is the 3x-y=6, both ordered pairs solutions for the equation

$3x-y=6$ (1)
We know that the equatioan passing through $(x_1,y_1)and(x_2,y_2)$ is
${\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)}$
${\displaystyle y-0=\frac{-6-0}{0-(-2)}(x-(-2))}$
${\displaystyle y=-\frac{6}{2}(x+2)}$
${\displaystyle y=-3(x+2)}$
${\displaystyle y=-3x-6}$
${\displaystyle 3x+y+6=0}$
${\displaystyle 3x+y=-6\left(2\right)}$
By, equations $(1)+(2)$, we get
${\displaystyle 3x-y=6}$
${\displaystyle 3x+y=-6}$
${\displaystyle 6x=0\Rightarrow x=0}$
put value in equation (2), we get
${\displaystyle 3x+y=-6}$
${\displaystyle 3\times 0+y=-6}$
${\displaystyle y=-6}$
So, ordered parts (0,-6)