SOLUTION: Please help with this equation. Line R and B have the same x-intercept and line B passes through the point(3,3) Find the equation of line B if the equation of line R is x+2y-1=0(X-

Algebra ->  Equations -> SOLUTION: Please help with this equation. Line R and B have the same x-intercept and line B passes through the point(3,3) Find the equation of line B if the equation of line R is x+2y-1=0(X-      Log On


   

Question 1176117: Please help with this equation. Line R and B have the same x-intercept and line B passes through the point(3,3) Find the equation of line B if the equation of line R is x+2y-1=0(X-Intercept is found when y=0)
Found 2 solutions by ewatrrr, MathLover1:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
Question States:
 lineR:   x + 2y - 1 = 0  0r  y = -x/2 + 1/2  (1,0) the x-intercept (x/2 = 1/2)
 lineB:  B passes through the point(3,3) and (1,0) (shared with lineR)
(3,3) and 
(1,0)   m = 3/2
    (y-0) = 3/2(x-1)
       y = (3/2)x -  3/2      The Equation for lineB
0r 2y- 3x = -3


Wish You the Best in your Studies.


Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Line R
x%2B2y-1=0....in slope intercept form will be
2y=-x%2B1
y=-%281%2F2%29x%2B1%2F2
line B
y=mx%2Bb......given that line B
have the same x-intercept as line R
so find x-intercept
y=-%281%2F2%29x%2B1%2F2..........set y=0
0=-%281%2F2%29x%2B1%2F2
%281%2F2%29x=1%2F2
x=%281%2F2%29%2F%281%2F2%29
x=1
so the x-intercept is at the point(1,0)
since also given that line B passes through the point(3,3), we will use these two points to find a slope
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
m=%283-0%29%2F%283-1%29
m=3%2F2
so far equation of the line B is
y=%283%2F2%29x%2Bb...........use one point to calculate b
3=%283%2F2%293%2Bb
3=9%2F2%2Bb
3-9%2F2=b
6%2F2-9%2F2=b
b=-3%2F2
equation of the line B is
y=%283%2F2%29x-3%2F2