threewaaynaee threewaaynaee
  • 17-12-2021
  • Mathematics
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Find an equation of a line through (2,-5), perpendicular to 3y=x-6. Write in function notation. ANSWER FAST PLS

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Аноним Аноним
  • 17-12-2021

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]

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