Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2 x + b and solving for b, we get b = 6. Thus

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Perpendicular lines to y = 3x: y = − 1 3 x +4. y = − 1 3 x −12. y = − 1 3 x. The y-intercepts change where the lines intersect, but all these lines are perpendicular to y = 3x. Serena D. · 1 · Apr 7 2018.

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