126k views
4 votes
Please help 15 points available! What is the equation of the line that is perpendicular to y - 3 x = 2 and that passes through (6,1)?

y = 1/3x - 1
y = 1/3x + 3
y = -1/3x + 3
y = -1/3x - 1

Please help 15 points available! What is the equation of the line that is perpendicular-example-1

2 Answers

3 votes
Answe

Is c
Hope this help
User Moshe Simantov
by
4.9k points
3 votes

Answer:

C) y = -1/3x + 3

Explanation:

y - 3x = 2

+ 3x + 3x

y = 3x + 2

find the reciprocal of the slope (3) which is -1/3 so -1/3 will be the slope for the perpendicular line

y = (-1/3)x + b

now find the y-intercept (b)

(6,1) x = 6 y = 1

y = (-1/3)x + b

1 = (-1/3)6 + b

1 = -2 + b

+2 +2

3 = b

y = (-1/3)x + 3

User Eero Heikkinen
by
5.5k points