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__ 19. are the lines y=-x-2 and 4x+4y=16 explain a. yes; their alopes have product -1 b. no_(2) their alopen are not opposite

Question

__ 19. Are the lines y=-x-2 and 4x+4y=16 Explain A. Yes; their alopes have product -1 B. No_(2) their alopen are not opposite reciprocals C. Yes; their slopes are equal D. No; their alopes are not equal

Solution

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Sergio Mestre · Tutor por 5 anos

Resposta

To determine if the lines and are perpendicular, we need to find their slopes and check if their product is -1.The slope of the first line is -1. We can find this by rewriting the equation in slope-intercept form , where is the slope. In this case, the slope is -1.The slope of the second line can be found by rearranging the equation to solve for . We have , which simplifies to . The slope of this line is also -1.Since the product of the slopes is , the lines are not perpendicular. Therefore, the correct answer is:D. No; their slopes are not equal.