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 = -1/3(x - G)
B. y - G = -1/3(x - F)
C. y - G = -3(x - F)
D. y - F = -3(x - G)

Step-by-step explanation:

To answer this question effectively, we'll begin by calculating the slope of the line of the graph given in the question above. This can be obtained as follow:

From the graph, we obtained the following:

y-coordinate:

y₁ = 1

y₂ = 4

x-coordinate:

x₁ = 1

x₂ = 2

Slope 1 (m₁) =?

m₁ = 3

Next, we shall determine the slope 2 (m₂) of the line perpendicular to the graph given above.

For perpendicular lines, the slope has the following relationships:

But

m₁ = 3

m₂ =?

Thus,

Finally, we shall determine the equation of Leo's line. This can be obtained as follow:

Slope of the line (m₂) = – 1/3

x-coordinate (x₁) = F

y-coordinate (y₁) = G

The equation of Leo's line =?

Therefore, the equation of Leo's line is:

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