Question

A line makes intercepts 3 and 3 on the co-ordinate axes. Find the inclination of the line.

Answer 1

The line makes intercepts 3 and 3 on the co-ordinate axes.

∴ the line is passing through the points (3, 0) and (0, 3).

∴ slope of the line = m = `(3 - 0)/(0 - 3)`

= `3/(-3)`

= – 1

Let θ be the inclination of the line.

∴ slope of the line = m = tan θ

∴ tan θ = –1

= – tan 45°

= tan (180° – 45°) ...[∵ tan (180° – θ) = – tan θ]

∴ tan θ = tan 135°

∴ θ = 135°

Hence, the inclination of the line = 135°.