Straight Lines
What is the slope of a line passing through the points $(2, 3)$ and $(4, 7)$?
What is the angle between two lines whose slopes are $m_1 = 2$ and $m_2 = 3$?
If three points $(h, 0)$, $(a, b)$, and $(0, k)$ are collinear, then which of the following relations is true?
What is the equation of the line passing through $(-4, 3)$ with a slope of $1/2$?
What is the equation of the line that makes intercepts $-3$ and $2$ on the x-axis and y-axis respectively?
What is the perpendicular distance of the point $(3, -4)$ from the line $3x - 4y + 10 = 0$?
What is the distance between the parallel lines $3x - 4y + 7 = 0$ and $3x - 4y + 5 = 0$?
Reduce the equation $\sqrt{3}x + y - 8 = 0$ into normal form $x \cos \omega + y \sin \omega = p$. What is the value of $p$?
What is the slope of a line perpendicular to the line passing through the points $(1, -2)$ and $(4, 6)$?
Find the equation of the line passing through the point $(-1, 1)$ and parallel to the line $2x - 3y + 4 = 0$.
What is the y-intercept of the line whose equation is $3x + 4y - 12 = 0$?
What is the angle made by the line $x - \sqrt{3}y + 5 = 0$ with the positive direction of the x-axis?
Find the value of $k$ if the lines $2x + 3y - 4 = 0$ and $kx + 6y - 7 = 0$ are parallel.
Find the value of $k$ if the lines $kx - 5y + 4 = 0$ and $2x + 3y - 6 = 0$ are perpendicular.
What is the equation of a line passing through the origin and having slope $m$?
What is the equation of the line parallel to the x-axis and at a distance of 3 units above the x-axis?
What is the equation of the line parallel to the y-axis and at a distance of 4 units to the left of the y-axis?
What is the distance of the point $(4, 3)$ from the origin?
If the angle between two lines is $\pi/2$, then the product of their slopes is:
What are the coordinates of the mid-point of the line segment joining the points $(3, 4)$ and $(5, 6)$?