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13.
Write the equation of a line that is perpendicular to the given line and that passes through the given point.

2x + 9y = –30; (–8, 0)

A. y = 2/9x – 8

B. y = 9/2x + 36

C. y = -9/2x + 36

D. y = 2/9x + 36

Answer :

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Answer:

B. y = 9/2x + 36

Step-by-step explanation:

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  2 x +9 y = − 30 .

y = 9 /2 x + 36                        PERPENDICULAR

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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  2 x + 9 y = − 30 .

y =− 2 /9 x − 16 /9                     PARALLEL

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