[tex]2x-3y+1=0\Rightarrow y=\dfrac23x+\dfrac13\Rightarrow m_d=\dfrac23[/tex]
Daca notam cu m panta dreptei cerute, din conditia de perpendicularitate a doua drepte avem: [tex]m\cdot m_d=-1\Rightarrow m=-\dfrac32[/tex]
Ecuatia dreptei ce trece prin A si de panta m este:
[tex]y-y_A=m(x-x_A)\Rightarrow y-4=-\dfrac32(x-6)\Rightarrow 3x+2y-26=0[/tex]