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27 November, 13:21

For the equation, y = - x - 4, tell whether its graph passes through the first quadrant. Explain how you know.

No; for x > 0 the y-values are negative.

Yes; for x > 0 some y-values are positive.

Yes; for x < 0 some y-values are positive.

No; for x < 0 the y-values are negative

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  1. 27 November, 15:58
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    Option 1

    No; for x > 0 the y-values are negative.

    The given line equation will not pass through 1st quadrant. So option 1 is correct. As for x > 0, the y - values are positive

    Solution:

    Given that, an equation is y = - x - 4

    We have to find whether the given line equation will passes through the 1st quadrant or not.

    Now, we know that, in 1st quadrant both the values of x and y will be positive.

    So, now if we observe. For any positive value of x in y = - x - 4 the y value will always be negative. Because of the (-) symbol before it.

    So, no value y will be positive for a positive value of x. and even the vice versa is not possible.

    Hence, the given line equation will not pass through 1st quadrant. So option 1 is correct. As for x > 0, the y - values are positive.
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