elijahmcquillar08
elijahmcquillar08 elijahmcquillar08
  • 26-01-2022
  • Mathematics
contestada

Write an equation of the line that passes through (1, 2) and is perpendicular to the line y = 1/3 x +4​

Respuesta :

semsee45
semsee45 semsee45
  • 26-01-2022

Answer:

[tex]y=-3x+5[/tex]

Step-by-step explanation:

As the new line is perpendicular to the original line, the gradient of the new line (m) will be -1 ÷ gradient of original line = -1 ÷ 1/3 = -3

So using: [tex]y-y_1=m(x-x_1)[/tex] where m is the gradient and [tex](x_1, x_2)[/tex] is the point it passes through:

             ⇒ [tex]y-2=-3(x-1)[/tex]

                   ⇒ [tex]y=-3x+5[/tex]

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