Write an equation of a line given point (4, -1) and perpendicular to a line with equation 3x + y =4

omgespit9q

omgespit9q

Answered question

2022-10-29

Write an equation of a line given point (4, -1) and perpendicular to a line with equation 3x + y =4

Answer & Explanation

garbhaighzf

garbhaighzf

Beginner2022-10-30Added 13 answers

y = 4 - 3 x the slope of this line is -3
The slope of a perpendicular line is the negative reciprocal , therefore 1 3 .
Now, using point slope form, y - y 1 = m ( x - x 1 ) , we get:
y - ( - 1 ) = 1 3 ( x - 4 )
y + 1 = 1 3 x - 4 3
y = 1 3 x - 7 3

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