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
3.5
(245 Votos)
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.