If the three points $A(1, 6)$, $B(3, -4)$, and $C(x, y)$ are collinear, then the equation satisfied by $x$ and $y$ is:

Let $a, b, c$ and $d$ be non-zero numbers. If the point of intersection of the lines $4ax + 2ay + c = 0$ and $5bx + 2by + d = 0$ lies in the fourth quadrant and is equidistant from the two axes,then:

If the three lines $2x + y = 4$,$3x + 2y = 3$,and $ax + 3y = 2$ are concurrent,find the value of $a$.

If the lines $x+3y-9=0$,$4x+by-2=0$,and $2x-y-4=0$ are concurrent,then the equation of the line passing through the point $(b, 0)$ and concurrent with the given lines is

The line parallel to the $x$-axis passing through the intersection of the lines $ax + 2by + 3b = 0$ and $bx - 2ay - 3a = 0$, where $(a, b) \neq (0, 0)$, is

If the lines $x+2ay+a=0$,$x+3by+b=0$,and $x+4cy+c=0$ are concurrent,then $a, b, c$ are in