Write an equation of a line passing through (0, 2), perpendicular to y=4x–3

Cory Russell 2022-10-18 Answered
Write an equation of a line passing through (0, 2), perpendicular to y=4x–3
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Answers (1)

Tirioliwo
Answered 2022-10-19 Author has 12 answers
The slope of line: y=4x−3≡y=mx+c is 4.
Hence the slope m of the line perpendicular to the given line: y=4x−3
m = - 1 4
Now, the equation of line passing through the point ( x 1 , y 1 ) ( 0 , 2 ) & having a slope m = - 1 4 is given as
y - y 1 - m ( x - x 1 )
y - 2 = - 1 4 ( x - 0 )
4 y - 8 = - x
x + 4 y - 8 = 0
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