SOLUTION: Two perpendicular lines have the same x-intercept. An equation of one of the lines is y = 3x + 6 . Find the equation of the other.

Algebra ->  Linear-equations -> SOLUTION: Two perpendicular lines have the same x-intercept. An equation of one of the lines is y = 3x + 6 . Find the equation of the other.      Log On


   



Question 1157515: Two perpendicular lines have the same x-intercept. An equation of one of the
lines is y = 3x + 6 . Find the equation of the other.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
perpendicular lines have slopes whose products = -1 (negative reciprocal)
y=3x+6 has slope 3
the other has slope -1/3
y-y1=m(x-x1) point slope formula where m is slope and (x1, y1) point
the x intercept of y=3x+6 is where y=0 and x=-2
so we know a point on the perpendicular line is (-2, 0)
y-0=-1/3(x+2)
y=(-1/3)x-2/3
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C3x%2B6%2C%28-1%2F3%29x-2%2F3%29