Question

Guided Practice

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


y = –2x + 3; (–3, 5)


A.
y = –2x + 11


B.
y = –2x – 1


C.
y = 2x + 2

Answer 1

B.

y = –2x – 1

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 = − 2 x + 3 .

y = − 2 x − 1

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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 = − 2 x + 3 .

y = 1 /2 x + 13 /2