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12.
Write an equation for the line that is parallel to the given line and that passes through the given point.

y = 5/2x – 10; (–6, –29)

A. y = 5/2x – 14

B. y = -2/5x + 14

C. y = 2/5x – 14

D. y = 5/2x + 133/2

Sagot :

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Answer:

A. y = 5/2x – 14

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 = 5 /2 x − 10 .

y = 5 /2 x − 14                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 = 5 /2 x − 10 .

y = − 2 /5 x − 157 /5                        PERPENDICULAR

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