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4.
Write an equation for the line that is parallel to the given line and that passes through the given point.

y = –6x + 2; (–1, 2)

A. y = 6x – 8

B. y = –8x – 8

C. y = –6x + 4

D. y = –6x – 4

Sagot :

Answer:

D. y = –6x – 4

Step-by-step explanation:

Find the slope of the original line and use the point-slope formula  y − y 1 = m ( x − x 1 )  to find the line parallel to  y = − 6 x + 2 .

y = − 6 x − 4                 PARALLEL

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Find the negative reciprocal of the slope of the original line and use the point-slope formula  y − y 1 = m ( x − x 1 )  to find the line perpendicular to  y = − 6 x + 2 .

y = 1 /6 x + 13/ 6            PERPENDICULAR

Answer:

D

Step-by-step explanation: