Find the angle between the lines: y = 3x – 4 and 2x – y + 1 = 0
Source: JAMB · 2024
Find the angle between the lines: y = 3x – 4 and 2x – y + 1 = 0
Explanation
The first line has gradient m₁ = 3. Rewrite 2x − y + 1 = 0 as y = 2x + 1, so m₂ = 2.
tan θ = (m₁ − m₂)/(1 + m₁m₂) = (3 − 2)/(1 + 6) = 1/7 = 0.1429.
θ = tan⁻¹(0.1429) = 8.1°.
Was this explanation helpful?
Something wrong or missing? Tell us — we read every report and fix issues fast.