Question

Which is not an equation of the line going through (3, 6) and (1, -2)?

Answer 1

The point-slope form of the equation of the line is

$y-b=m(x-a)$

where

$\begin{gathered} m=\frac{6-(-2)}{3-1} \\ m=\frac{8}{2} \\ m=4 \end{gathered}$

Replacing m=4 and the point (1,-2) we have

$\begin{gathered} y-(-2)=4(x-1) \\ y+2=4x-4 \\ y=4x-6 \end{gathered}$

This equation can be writen in diferent ways l