Find the equation of the line passing through the point P(-3,5) and perpendicular to the line passing through the points A(2, 5) and B(-3, 6).

Answer

5x-y+20=0

Explanation

Slope of AB=`m_(1)=(6-5)/(-3-2)=(-1)/(5)`
Now, `m_(1)m_(2)=-1 Leftrightarrow (-1)/(5)xxm_(2)=-1 Leftrightarrow m_(2)=5`
`therefore` required equation is `(y-5)/(x+3)=5 Leftrightarrow 5x-y+20=0`.