The equation of the line passing through $(5, 3)$ and perpendicular to $2x + y - 7 = 0$ is

$A$ graph is drawn between the $y-x$ axes. Which of the following equations is correct for the graph?

$A$ line passes through the point $(1, 2)$ and makes an angle of $60^{\circ}$ with the $x$-axis. The coordinates of the points on this line at a distance of $3$ units from the point $(1, 2)$ are:

Find the equation of the line passing through the point $(2,2)$ and cutting off intercepts on the axes whose sum is $9$.

The system of linear equations $ax - y + 2 = 0$ and $x + ay + 3 = 0$ has a unique solution. Then,the set of values of $a$ is . . . . . . .

The equation of the line,which bisects the line segment joining the points $(2, -19)$ and $(6, 1)$ and is perpendicular to the line joining the points $(-1, 3)$ and $(5, -1)$,is