Straight Lines

The slope of the line joining $(0, -4)$ and $(8, 0)$ is:

Find the value of $m$ if the line through $(2, m)$ and $(4, 8)$ has a slope of $2$.

If the slope of a line is undefined, the line must be parallel to:

Which of these points lies on the line $y = 2x + 1$?

Equation of a line with $x$-intercept $3$ and $y$-intercept $3$ is:

Find the slope of a line which makes an angle of $60^\circ$ with the positive direction of the $x$-axis.

Reduce the equation $x - y + 4 = 0$ to normal form and find the value of $\omega$.

Find the value of $\omega$ for the line $\sqrt{3}x - y = 10$ when reduced to normal form.

Find the equation of the line where the foot of the perpendicular from the origin is $(1, 1)$.

What is the $y$-intercept of the line $x + 2y = 0$?

What is the slope of the line $x - y = 7$?

The equation $x + y + \sqrt{2} = 0$ in normal form has $p$ equal to:

Find the distance of the point $(3, 4)$ from the line $3x + 4y = 0$.

Find the distance of the point $(2, 2)$ from the line $x + y - 4 = 0$.

What is the distance of the point $(1, 1)$ from the line $x - y + 5 = 0$?