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Art [367]
3 years ago
9

Please answer the questions below

Mathematics
1 answer:
liubo4ka [24]3 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

(3)

Parallel lines have equal slopes

the equation of a line in sloipe- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \frac{1}{4} x + 5 ⇒ m = \frac{1}{4}

y = 4x + 5 ⇒ m = 4

y = - 4x + 5 ⇒ m = - 4

y = - 4x - 9 ⇒ m = - 4

the 3rd and 4th options have equal slopes and are parallel

(4)

given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m}

y = \frac{1}{6} x + 4 ⇒ m = \frac{1}{6}

y = - \frac{1}{6} x + 5 ⇒ m = - \frac{1}{6}

y = \frac{1}{6} x + 3 ⇒ m = \frac{1}{6}

y = 6x + 3 ⇒ m = 6

note that a slope of m = 6 , has a perpendicular slope of

m_{perpendicular} = - \frac{1}{6}

the 2nd and 4th lines are perpendicular

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