Write an equation through point (6, -8), perpendicular to y= -6x - 9

Hayley Mcclain

Hayley Mcclain

Answered question

2022-11-20

Write an equation through point (6, -8), perpendicular to y= -6x - 9

Answer & Explanation

Marshall Flowers

Marshall Flowers

Beginner2022-11-21Added 20 answers

y=−6x−9 is an equation in slope-intercept form with a slope of (−6).
Any line perpendicular to it must have a slope of - 1 - 6 = 1 6
If the required perpendicular line passes through (6,−8)
then, in slope-point form, its equation can be written as
y - ( - 8 ) = 1 6 ( x - 6 )
Simplifying
6 ( y + 8 ) = x - 6
6 y + 48 = x - 6
x - 6 y = 42

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