SOLUTION: Two perpendicular lines have the same x-intercept. An equation of one line is y=3x+1. Find an equation of the other line.

Question 882301: Two perpendicular lines have the same x-intercept. An equation of one line is y=3x+1. Find an equation of the other line.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Same x-intercept. Find that value using the given line.

, so point is (-1/3, 0).

The other line, perpendicular, is , NOT because of the x-intercept; but because you need 3*m=-1, the product of the slopes must be negative 1. Now you still need to solve for b.
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Substitute the known point which is on both lines.

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Wanted Equation: .
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

Two perpendicular lines have the same x-intercept. An equation of one line is y=3x+1. Find an equation of the other line.

Equation of other line:
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