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 26862: 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 bmauger(101) (Show Source):
You can put this solution on YOUR website!
Same as the other type of problem, only this time you need to use the fact that perpendicular to means the same as "has a slope that is the negative reciprocal of" Finding the slope now requires rearranging the line the give you:

Now you have your slope (m from the equation y=mx+b) as 2/3. But for your line, you want something that is perpendicular, or has a negative reciprocal slope. To find the negative reciprocal of a number, you take -1 and divide it by the number.

So -3/2 will be the slope for your line, and again they give you a y-intercept (2). So putting that into slope-intercept format gives:

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.