Which point(s) lie on the line whose equation is – 4x + 5y – 12 = 8 Select all that apply. A (5, 0) В (- 2, 2.4) (8, 5) D (10, 12) E (0, 4)

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Which point(s) lie on the line whose equation is – 4x + 5y – 12 = 8 Select all that apply. A (5, 0) В (- 2, 2.4) (8, 5) D (10, 12) E (0, 4)

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Thanh Hà 3 years 2021-08-26T11:06:37+00:00 1 Answers 12 views 0

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    2021-08-26T11:07:57+00:00

    Answer:

    Options B, D and E

    Step-by-step explanation:

    Given equation is,

    -4x + 5y – 12 = 8

    -4x + 5y = 20

    If a point given in the options lie on the line, point will satisfy the equation.

    Option A.

    For a point (5, 0),

    -4(5) + 5(0) = 20

    -20 = 20

    False

    Therefore, (5, 0) will not lie on the given line.

    Option B

    For (-2, 2.4)

    -4(-2) + 5(2.4) = 20

    8 + 12 = 20

    20 = 20

    True.

    Therefore, (-2, 2.4) will lie on the given line

    Option C

    For (8, 5),

    -4(8) + 5(5) = 20

    -32 + 25 = 20

    -7 = 20

    False

    Therefore, (8, 5) will not lie on the line.

    Option D

    For (10, 12)

    -4(10) + 5(12) = 20

    -40 + 60 = 20

    20 = 20

    True.

    Therefore, (10, 12) will lie on the line.

    Option E

    For (0, 4)

    -4(0) + 5(4) = 20

    20 = 20

    True.

    Therefore, (0, 4) will lie on the line.

    Options B, D and E are correct.

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