Various Forms of Equations of a Line

Find the equation of a vertical line passing through the point $(-5,6)$.

Find the equation of a horizontal line passing through the point $\left(4,-2\right)$.

Find the equation of a line parallel to the $x-$axis and having intercept $-3$ on the $y-$axis.

Find the equation of a line parallel to the $y-$axis at a distance of  $3 \mathrm{units}$ to its left.

Find the equation of a line parallel to the $y-$axis at a distance of  $6 \mathrm{units}$ to its right.

Find the equation of a line parallel to the $x-$axis at a distance of $5 \mathrm{units}$ below it.

Find the equation of a line which cuts off intercept $5$ on the $x-$axis and makes an angle of $60°$ with the positive direction of $x-$axis.

Find the equation of a line passing through the origin and making an angle of $120°$ with the positive direction of the $x-$axis.

Find the equation of a line whose inclination with the $x-$axis is $150°$ and which passes through the point $(3,-5)$.

Find the equation of a line whose inclination with the $x-$axis is $30°$ and which passes through the point $\left(0,5\right)$.

Find the equation of a line which makes an angle of $\frac{2\pi }{3}$ with the positive direction of the $x-$axis and passes through the point $(0,2)$.

Find the equation of a line whose slope is $-3$ and which passes through the point $(-2,3)$.

Find the equation of a line whose slope is $4$ and which passes through the point $(5,-7)$.

Find the equation of a line which is equidistant from the lines $y=8$ and $y=-2$.

Find the equation of a line which is equidistant from the lines $x=-2$ and $x=6$.

Find the equation of a line parallel to the $x-$axis at a distance of $4\text{ units }$above it.