Find the equations t the straight lines passing through the point (2,-3) and inclined at an angle of `45^@` to the line`\ y=3x+4.`

Explanation

Let slope of required line be m1​

`y=3x+4 `is of form `y=mx+c `and has slope `m_2​=3`

⇒`tan45=(​m_2​−m_1​​)/(1+m_1m_2)`

=`(30m_1​)/(1+3m)​=1`

`=>3m_1​=1+3m`,

or `3m_1=-1-3m_1`

or,
`=>m+1​=−2`

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