The straight line L has equation $3y=2x–11$

Find an equation of the straight line perpendicular to L that passes through $(-3,6)$

$A$(—2, 1), $B$(6, 5) and $C$(4, $k$) are the vertices of a right-angled triangle $ABC$.
Angle $ABC$ is the right angle.

Find an equation of the line that passes through $A$ and $C$.
Give your answer in the form $ay+bx=c$ where $a$, $b$ and $c$are integers.

The equation of a straight line is    $3x+2y=24$

Choose the point where the line crosses the $x$-axis.

The point $P$ has coordinates $(3,4)$
The point $Q$ has coordinates $(a,b)$

A line perpendicular to $PQ$ is given by the equation $3x+2y=7$

Find an expression for $b$ in terms of $a$.