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Leo drew a line that is perpendicular to the line shown on the grid and passes through point (F. G). Which of the following is the equation of Leo's line?
Oy-G=-2(x-F)
Oy+F=2(x+G)
Oy+F=1/2(x+G)
Oy-G=1/2( x-F)

Leo Drew A Line That Is Perpendicular To The Line Shown On The Grid And Passes Through Point F G Which Of The Following Is The Equation Of Leos Line OyG2xF OyF2 class=

Sagot :

shubhamchouhanvrVT

The equation of the perpendicular line drawn by Leo is  [tex]y-G=\dfrac{-1}{2}(x-F)[/tex]. Option C is the correct answer.

How to determine the equation of a line?

A line is drawn perpendicular to the line shown in the image. The perpendicular line passes through the coordinate point (F,G).

The slope of the line from the graph is-

[tex]m=\dfrac{y-intercept}{x-intercept}\\\\\\m=2[/tex]

Therefore, the slope of the perpendicular line is [tex]\dfrac{-1}{2}[/tex].

Also, it is being given that Leo's line is passing through the coordinate point .

So, the equation of the Leo's line is-

[tex]y-G=\dfrac{-1}{2}(x-F)[/tex]

Thus, the equation of the perpendicular line drawn by Leo is .

[tex]y-G=\dfrac{-1}{2}(x-F)[/tex]

Learn more about the equation of line here- brainly.com/question/20632687

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