SOLUTION: Write the equation of the L satisfying the given geometric conditions. L has y-intercept (0,2) and is perpendicular to the line with equation 2x-3y=6

Algebra ->  Linear-equations -> SOLUTION: Write the equation of the L satisfying the given geometric conditions. L has y-intercept (0,2) and is perpendicular to the line with equation 2x-3y=6      Log On


   

Question 117780: Write the equation of the L satisfying the given geometric conditions.

L has y-intercept (0,2) and is perpendicular to the line with equation 2x-3y=6
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
2X-3Y=6
-3Y=-2X+6
Y=-2X/-3+6/-3
Y=2X/3-2 (RED LINE)
THIS LINE HAS A SLOPE=2/3.
A PERPENDICULAR LINE WILL HAVE A SLOPE=-3/2 AND PASSING THROUGH THE Y INTERCEPT(b)=(0,2)IS:
Y=-3X/2+2 ANSWER. (GREEN LINE)
+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+y+=+2x%2F3+-2%2C+y+=+-3x%2F2+%2B2%29+ (graph 300x300 pixels, x from -10 to 10 , y from -10 to 10, of TWO functions y = 2x/3 -2 and y = -3x/2 +2).