Find the angles between each of the following pairs of straight line: `3x-y+5=0\ a n d\ x-3y+1=0`

Explanation

The equations of the lines are `3x − y + 5 = 0 … (1) `


`x − 3y + 1 = 0 … (2)`


Let `m_1` and `m_2` be the slopes of these lines.` m_1 = 3`, `m_2 = 1/3 `

Let` theta` be the angle between the lines.


Then, by using the formula
...