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

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Question 78736: 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 tutor_paul(427) (Show Source):
You can put this solution on YOUR website!
First, put the equation of the line into form:

The slope of this line is the "m" term, so the slope =
The important point to recognize in this problem is that if two lines are
perpendicular, then the product of their slopes is -1.
So to find the slope (m) of the the line L, determine what number
multiplied by 2/3 will equal -1:

So now you know the slope and the y intercept for the line L.
With this information, you should be able to write out the equation.
Good Luck,
tutor_paul@yahoo.com

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.