Square EFGH is drawn on a coordinate plane. Diagonal FH is on the line y − 3 = negative one third(x + 9). What is the slope of the diagonal GE?

A. -1/3
B. 1/3
C. -3
D. 3

Option D: 3 is the slope of the diagonal GE

Explanation:

Given that EFGH is a square drawn on a coordinate plane.

Diagonal FH is on the line

We need to determine the slope of the diagonal GE.

Since, EFGH is a square and FH and GE are diagonals of the square.

The diagonals FH and GE are perpendicular to each other.

Thus, the slope of GE can be determined using the formula,

where is the slope of FH and is the slope of GE

From the line , the slope is given by

Let us substitute the slope in the formula, we get,

Multiplying both sides by , we have,

Thus, the slope of the diagonal GE is 3

Therefore, Option D is the correct answer.

c: lkllmn.

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