Perpendicular Lines and the equation of a tangent

$A\,$ is the point $(0, 1)$

$B\,$ is the point $(6, 3)$

The equation of the straight line through $A\,$ and $B\,$ is $y=13x+1\displaystyle y = \frac{1}{3}x + 1$

Write down the equation of another straight line parallel to $y=13x+1\displaystyle y = \frac{1}{3}x + 1$

[1]

Write down the equation of another straight line that passes through the point $(0, 1)$

[1]

Find the equation of the line perpendicular to $AB\,$ passing through $B$ .

[3]

Perpendicular Lines and the equation of a tangent Questions