SOLUTION: Write the equation of the line 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 line 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 120591: Write the equation of the line 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 OR -3Y=-2X+6 OR Y=-2X/-3+6/-3 OR Y=2X/3-2 (RED LINE)
THE OPERPENDICULAR LINE PASSING THROUGH (0,2) HAS A SLOPE=-3/2 [NEGATIVE RECIPRICAL OF THE RED LINE]
2=-3/2*0+b
2=b WHICH IS THE Y INTERCEPT
Y=-3X/2+2 IS THIS LINE EQUATION (GREEN LINE)
+graph%28+300%2C+300%2C+-6%2C+5%2C+-6%2C+10%2C+y+=+2x%2F3+-2%2C+y+=-3x%2F2+%2B2%29+ (graph 300x300 pixels, x from -6 to 5, y from -6 to 10, of TWO functions y = 2x/3 -2 and y = -3x/2 +2).