Find the equations of the altitudes of a ΔABC whose vertices are A (1, 4), B (-3, 2) and C (-5, -3).

According to ques,:

The vertices of ∆ABC are A (1, 4), B (− 3, 2) and C (− 5, − 3).

Now let us find the slopes of ∆ABC.

   

   

And,

   

   

And again,

   

   

Thus, we have:

   

   

And,

   

Hence,

Equation of CF is:

   

   

or,

   

Equation of AD is:

   

   

Or,

   

Equation of BE is:

   

   

Or,

   

∴ The required equations are:

   

   

And