SOLUTION: Two perpendicular lines intersect on the x-axis.An equation of one line is y=3x +1.Find an equation of other line

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Question 310887: Two perpendicular lines intersect on the x-axis.An equation of one line is y=3x
+1.Find an equation of other line
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
y=3x%2B1
Perpendicular lines have slopes that are negative reciprocals.
m1%2Am2=-1
3%2Am2=-1
m2=-1%2F3
The first line crosses the x-axis (y=0) when x=-1%2F3.
Use the point slope form of a line,
y-yp=m%28x-xp%29
y-0=-%281%2F3%29%28x-%28-1%2F3%29%29
highlight_green%28y=+-%281%2F3%29x-1%2F9%29+
+graph%28+300%2C+300%2C+-3%2C+3%2C+-3%2C+3%2C+-%281%2F3%29x-1%2F9%2C+3x%2B1%29+