Question

The figure given alongside shows two straight lines AB and CD intersecting each other at point P (3, 4). Find the equations of AB and CD.

Answer 1

Slope of line AB = tan 45^o = 1

The line AB passes through P (3, 4). So, the equation of the line AB is given by:

y - y₁ = m(x - x₁)

y - 4 = 1(x - 3)

y - 4 = x - 3

y = x + 1

Slope of line CD = tan 60^o =

The line CD passes through P (3, 4). So, the equation of the line CD is given by:

y - y₁ = m(x - x₁)

y - 4 = (x - 3)

y - 4 = x - 3

y = x + 4 - 3