Question

Find the equations of the straight lines passing through the point (2, 3) and inclined at π/4 radians to the line 2x + 3y = 5.

Answer 1

Let the line 2x + 3y = 5 make an angle θ with positive x-axis. Then, tan θ = 2/3.

Now,

The slopes of the required lines are

Therefore, the equations of the lines are