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 di

Question

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

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Gianna 22 hours 2021-09-10T07:59:29+00:00 2 Answers 0

Answers ( )

    0
    2021-09-10T08:01:00+00:00

    Answer:

    D. 3

    Step-by-step explanation:

    Took the test, but please refer to the person above me for a great explaination. Could not explain it any better.

    0
    2021-09-10T08:01:24+00:00

    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 y-3=-\frac{1}{3} (x+9)

    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,

    m_1\cdot m_2=-1

    where m_1 is the slope of FH and m_2 is the slope of GE

    From the line y-3=-\frac{1}{3} (x+9) , the slope is given by

    m_1=-\frac{1}{3}

    Let us substitute the slope m_1=-\frac{1}{3} in the formula, we get,

    -\frac{1}{3} \cdot m_2=-1

    Multiplying both sides by -\frac{1}{3} , we have,

    m_2=3

    Thus, the slope of the diagonal GE is 3

    Therefore, Option D is the correct answer.

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