Respuesta :

Equation of perpendicular line

[tex]\\ \sf\dashrightarrow 3y=x-6[/tex]

[tex]\\ \sf\dashrightarrow y=\dfrac{1}{3}x-2[/tex]

Comparing with y=mx+b

  • m=1/3

Slope of perpendicular line=-3

Passing through (2,-5)

Equation of line in point slope form

[tex]\\ \sf\dashrightarrow y-y_1=m(x-x_1)[/tex]

[tex]\\ \sf\dashrightarrow y+5=-3(x-2)[/tex]

[tex]\\ \sf\dashrightarrow y+5=-x+6[/tex]

[tex]\\ \sf\dashrightarrow x+y-1=0[/tex]