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