Equation A: 3x + y = 6 Equation B: 6x – 2y = 4 Equation C: y = 3x – 2 Equation D: y = 1 3 x + 7 Which two lines are perpendicular?

Question

Equation A: 3x + y = 6 Equation B: 6x – 2y = 4 Equation C: y = 3x – 2 Equation D: y = 1 3 x + 7 Which two lines are perpendicular?

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    0
    2021-09-10T07:45:10+00:00

    Answer: C) A and D

    Step-by-step explanation:

    Got this right on USA test prep

    0
    2021-09-10T07:45:46+00:00

    Given:
    A: 3x + y = 6 
    B: 6x – 2y = 4 
    C: y = 3x – 2
    D: y = 1/3 x + 7

    To figure out which two lines are perpendicular, we must look at the slopes of each one after putting them into standard form, y = mx + b.

    Standard Form:
    A: y = -3x + 6
    B: y = 3x – 2
    C: y = 3x – 2
    D: y = (1/3)x + 7

    Lines are perpendicular when their slopes are opposite inverses of eachother.

    The opposite of -3 is 3 and the inverse of 3 is 1/3.

    Therefore, lines A and D are perpendicular to one another 🙂

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