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sergejj [24]
2 years ago
11

which of the following pairs of lines are perpendicular? select all that apply A y=2/3x+4 and y=2/3x-8 B y=2/3x-8 and y=-3/2x-8

C y=x+3 and y=-x=3 D y=3x+n and y=3x-2 E y=3 and x=4 F y=4/5x-8 and y=-5/4x=3
Mathematics
2 answers:
jasenka [17]2 years ago
6 0

Its B, C, E, F because for B the neg reciprocal of 1 is -1

grin007 [14]2 years ago
6 0

Answer:

Hence, B, C and F are pairs of perpendicular line.

Step-by-step explanation:

We have to find the pairs of line that are perpendicular to each other.

Two lines are said to be perpendicular if the product of their slope is -1 that is:

m_1\times m_2 = -1

The slope of each line can be calculated with the help of slope intercept form:

y = mx + c

1)

y=\frac{2}{3}x+4, y=\frac{2}{3}x-8\\\\m_1 = \frac{2}{3}\\\\m_2 = \frac{2}{3}\\\\m_1\times m_2 \neq -1

2)

y=\frac{2}{3}x-8, y=\frac{-3}{2}x-8\\\\m_1 = \frac{2}{3}\\\\m_2 = \frac{-3}{2}\\\\m_1\times m_2 = -1

3)

y=x+3, y=-x-3\\\\m_1 = 1\\\\m_2 = -1\\\\m_1\times m_2 = -1

4)

y=3x+n, y=3x-2\\\\m_1 =3\\\\m_2 =3\\\\m_1\times m_2 \neq -1

5)

y=3, x=4\\\\m_1 =0\\\\m_1\times m_2 \neq -1

6)

y=\frac{4}{5}x-8, y=\frac{-5}{4}x-3\\\\m_1 = \frac{4}{5}\\\\m_2 = \frac{-5}{4}\\\\m_1\times m_2 = -1

Hence, B, C and F are pairs of perpendicular line.

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