# Internal Division of Line Segments

Internal Division an interval in a given ratio is that if the interval $(x_1,y_1)$ and $(x_2,y_2)$ is divided in the ratio $m:n$ then the coordinates are;$$\Big(\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n}\Big)$$ Example 1: Basics If $A$ and $B$ are the points $(-4,3)$ and $(2,-1)$ respectively, find the coordinates of $P$ […]

# Angle between Lines

If the acute angle $\theta$ between two straight lines $y = m_1 x + a$ and $y = m_2 x + b$, then$$\tan{\theta} = \left|\frac{m_1 – m_2}{1+m_1 \times m_2}\right|$$ Example 1: Straight Lines in Standard Form Find the acute angles between the lines \( y = -2x + 4 […]