SOLUTION: In the xy-plane, line L passes through the origin and is perpendicular to the line 2x - y = b, where b is a constant. If the two lines intersect at the point (2a, a + 1), what i

Algebra ->  Coordinate-system -> SOLUTION: In the xy-plane, line L passes through the origin and is perpendicular to the line 2x - y = b, where b is a constant. If the two lines intersect at the point (2a, a + 1), what i      Log On


   

Question 1119595: In the xy-plane, line L passes through the origin and is
perpendicular to the line 2x - y = b, where b is a
constant. If the two lines intersect at the point (2a, a + 1),
what is the value of b?
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
Line L has an equation x%2B2y=0.

Both lines contain point (2a, a+1).

system%282x-y=b%2Cx%2B2y=0%29

system%282%2A2a-a-1=b%2C2a%2B2a%2B2=0%29

system%284a-a-1=b%2C4a%2B2=0%29

system%283a-1=b%2C4a%2B2=0%29

-
12a-4=4b%2C12a%2B6=0

-10=4b

highlight%28b=-5%2F2%29