Question

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)

Answer 1

The equation of the perpendicular line drawn by Leo is  $y-G=\dfrac{-1}{2}(x-F)$. 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-

$m=\dfrac{y-intercept}{x-intercept}\\\\\\m=2$

Therefore, the slope of the perpendicular line is $\dfrac{-1}{2}$.

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

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

$y-G=\dfrac{-1}{2}(x-F)$

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

$y-G=\dfrac{-1}{2}(x-F)$

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

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