Answer:
No, it doesn't matter which coordinate you assign [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Step-by-step explanation:
Proof
[tex]\textsf{let}\:(x_1,y_1)=(-1,-4)[/tex]
[tex]\textsf{let}\:(x_2,y_2)=(2,2)[/tex]
[tex]\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{2-(-4)}{2-(-1)}=2[/tex]
[tex]\begin{aligned}y-y_1&=m(x-x_1)\\\implies y-(-4) &=2(x-(-1)\\y&=2x-2\end{aligned}[/tex]
[tex]\textsf{let}\:(x_1,y_1)=(2,2)[/tex]
[tex]\textsf{let}\:(x_2,y_2)=(-1,-4)[/tex]
[tex]\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-4-2}{-1-2}=2[/tex]
[tex]\begin{aligned}y-y_1&=m(x-x_1)\\\implies y-2 &=2(x-2)\\y&=2x-2\end{aligned}[/tex]
