Question

Guided Practice


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


y = –3x; (3, 0)


A.
y = –3x + 3


B.
y = 3x – 9


C.
y = –3x + 9

Answer 1

Answer:

C.

y = –3x + 9

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 = − 3 x .

y = − 3 x + 9

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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 = − 3 x .

y = 1 /3 x − 1