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I need help, please.​

I need help, please.​-example-1
User Orsiris De Jong
by
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1 Answer

14 votes
14 votes

Answer:

Perpendicular

Explanation:

B. Their slopes (or gradients). To determine whether two lines on a plane are parallel or perpendicular, we need to examine what their slopes are. You can do this by using:
m=(y_2-y_1)/(x_2-x_1).

So for the first line, it'll be:
m_1 = (0-4)/(2-0) = (-4)/(2) = -2

And for the second line, it'll be:
m_2 = (2-3)/(-4-(-2))=(-1)/(-2) = (1)/(2)

If two lines are parallel, their slopes will be the same. If two lines are perpendicular, one line's slope will be the negative reciprocal of the other; this means you can express the relationship between the two slopes
m_a and
m_b as
m_a = (-1)/(m_b).

So we can see immediately the two lines aren't parallel, since the two slopes are different (one is -2 and the other is 1/2). However, they are perpendicular since if we do
m_a = (-1)/(m_b) where
m_a = (1)/(2) and
m_b = -2, we see that the equation is true (
(1)/(2) = (-1)/(-2)).

User Mcuadros
by
2.2k points