Chapter 10: Straight Lines

Q1. Find the equation of line passing through (2, 3) with slope 4.

Solution

y - 3 = 4(x - 2)
y - 3 = 4x - 8
4x - y - 5 = 0

Q2. Find the angle between 2x + 3y = 5 and x - y = 2.

Solution

m₁ = -2/3, m₂ = 1
tanθ = |(1 - (-2/3))/(1 + 1(-2/3))| = |(5/3)/(1/3)| = 5
θ = tan⁻²(5)