Find the equation of the line perpendicular to y=−2x/21 that passes through (−1,6)

independanteng

independanteng

Answered question

2022-10-31

Find the equation of the line perpendicular to y = - 2 21 x that passes through (−1,6)

Answer & Explanation

flasheadita237m

flasheadita237m

Beginner2022-11-01Added 17 answers

The slope of the perpendicular line is 21 2 , since the original line has a slope of - 2 21 .
Now we can use point slope form to plug in the point, the slope abs find the slope intercept form equation.
y - y 1 = m ( x - x 1 )
The point (-1,6) is ( x 1 , y 1 ) while m is the slope.
y - 6 = 21 2 ( x - ( - 1 ) )
y - 6 = 21 2 x + 21 2
y = 21 2 x + 21 2 + 6
y = 21 2 x + 33 2

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