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?

A) y - F = -2(x - G)y
B) y + F = 2(x + G)
C) y - G = -1/2(x - F)
D) y - G = -1/2(x + F)

Answer 1

Answer:

It might be D

Step-by-step explanation:

f = x and g = y if that helps

Answer 2

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

The equation of the line is $y-y_1=m(x-x_1)$ where, $m$ is the slope of the line and $(x_1,y_1)$ is the point through which it is passing.

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-

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

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 $(F,G)$.

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- https://brainly.com/question/20632687

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