colleenvallejo colleenvallejo
  • 19-02-2022
  • Mathematics
contestada

Write the equation of the line through (2,1) that is perpendicular to the line y=3x. Graph both lines.

Write the equation of the line through 21 that is perpendicular to the line y3x Graph both lines class=

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ItsNiraula
ItsNiraula ItsNiraula
  • 19-02-2022

Answer:

Hi there ,

to find the equation of the line

we have formula y-y1= m(x-x1) , where m is the slope .

Step-by-step explanation:

y=3x

3x-y=0

slope of the line is given by -coef of x/coef of y

= -3/-1 = 3

as the line is perpendicular to 3x-y = 0

slope of required line (m) = -1/3

{using perpendicularity condition}

(x¹,y¹)=( 2,1)

equation of line = y-y1= m(x-x1)

= y-1 = -1/3(x-2)

or , 3y-3 = -x+2

or, x+3y=5 is the required equation

hope it helps...

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