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Find the equation of a line perpendicular to y=-3x-1 that contains the point (-1,1). Write the equation in slope intercept form.

User Sokid
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1 Answer

7 votes
7 votes

Answer:

y =
(1)/(3)x + 1
(1)/(3)

Explanation:

y = -3x - 1

1. Perpendicular line needs the opposite (reciprocal) of the slope.

reciprocal of -3 is -1/3, slope 1/3. y = 1/3x + b

2. Now find the b (y-intercept). 1 = 1/3(-1) + b

1 = -1/3 + b

+ 1/3 +1/3

1 1/3 = b

3. Answer y =
(1)/(3)x + 1
(1)/(3)

User Gfpacheco
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3.8k points