# 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 ->  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

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 Algebra: Linear Equations, Graphs, Slope Solvers Lessons Answers archive Quiz In Depth

 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)   (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 300x300 pixels, x from -6 to 5, y from -6 to 10, of TWO functions y = 2x/3 -2 and y = -3x/2 +2).