Find the equation of line through 12 23 perpendicular to the

Find the equation of line through ((1/2), -(2/3); perpendicular to the line 4x-8y=1

Solution

4x - 8y = 1

or, y = x/2 - 1/8

slope of line = 1/2

So slope of perpendicular line will be = -2

Perpendicular line passes through (1/2 , -2/3)

So equation of perpendicular line is,

(y - (-2/3)) = -2 * (x - 1/2)

or, y + 2/3 = 1 - 2x

or, 2x + y = 1/3

or, 6x + 3y = 1

Find the equation of line through ((1/2), -(2/3); perpendicular to the line 4x-8y=1Solution4x - 8y = 1 or, y = x/2 - 1/8 slope of line = 1/2 So slope of perpend

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