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° = 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° = `sqrt(3)`

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 = sqrt(3)(x − 3)`

`y - 4 = sqrt(3)x − 3sqrt(3)`

`y = sqrt(3)x + 4 − 3sqrt(3)`