Which ordered pairs in the form (x, y) are solutions to the equation 3x−4y=21 ? Select each correct answer.

Question

Which ordered pairs in the form (x, y) are solutions to the equation 3x−4y=21 ?

Select each correct answer.

(−3, 3)
(−1, −6)
(7, 0)
(11, 3)

0

Answers ( No )

    0
    2021-11-23T18:25:12+00:00

    Answer:

    wut that dude said is correct i verified it

    Step-by-step explanation:

    0
    2021-11-23T18:25:28+00:00

    Answer:

    (-1,-6) , (7,0) and (11,3)

    Step-by-step explanation:

    3x – 4y = 21

    4y = 3x – 21

    y = 3/4x – 21/4 , the slope(m) of this line is 3/4

    The x and y intercepts are (0,-5.25) and (7,0)

    Taking a point (-3,3):

    Slope(m) = change in y ÷ change in x

    Slope = (3 – 0) ÷ (-3 – 7) = -0.3

    Since the slope here is not 3/4 then point (-3,3) is not on the line.

    Taking a point (-1,-6)

    Slope = (-6 – 0 ) ÷ (-1 – 7) = -6/-8 = 3/4

    The point (-1,-6) is on the line.

    Taking a point (7,0):

    This point is the x – intercept and so its on the line.

    Taking a point (11,3):

    Slope = (3 – 0) ÷ (11 – 7) = 3/4

    Therefore the point (11,3) is on the line.

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