Work out line intersection point instantly with clear inputs, formula shown and shareable results.
Setting the two expressions for y equal gives m₁x + c₁ = m₂x + c₂, so x = (c₂ − c₁)/(m₁ − m₂). The angle between the lines comes from tan θ = |(m₁ − m₂)/(1 + m₁m₂)|.
Intersection
x = (c₂ − c₁) / (m₁ − m₂), y = m₁x + c₁
Angle between lines
tan θ = |(m₁ − m₂) / (1 + m₁m₂)|
x = 6/3 = 2 and y = 5, so the point is (2, 5).
The lines are perpendicular, so the angle is exactly 90° and the tangent formula would divide by zero.