What are the x and y intercepts of the graph of 4x – 6y = -12

Question

What are the x and y intercepts of the graph of 4x – 6y = -12

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Faith 2 weeks 2021-11-23T23:37:39+00:00 1 Answer 0 views 0

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    2021-11-23T23:38:50+00:00

    x intercept is (-3, 0) and y intercept is (0, 2)

    Solution:

    Given equation is:

    4x – 6y = -12

    Find the x intercept:

    Substitute y = 0 in given equation

    4x - 6(0) = -12\\\\4x = -12\\\\Divide\ both\ sides\ by\ 4\\\\x = -3

    Thus the x intercept is (-3, 0)

    Find the y intercept:

    Substitute x = 0 in given equation

    4(0) - 6y = -12\\\\-6y = -12\\\\6y = 12\\\\Divide\ both\ sides\ by\ 6\\\\y = 2

    Thus the y intercept is (0, 2)

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