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
I have gone over and ov
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Question 65946: 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
I have gone over and over this and can not figure it out, and there is not an example that I can find in the book, which by the way is an online text so I do not have an ISBN number.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Write the equation of the line whose y-intercept is (0, 2) and which is perpendicular to the line with equation: .
You can write the equation in the slope-intercept form. y = mx+b
You are given the y-intercept: b = 2
The slope can be found from the fact that it is perpendicular to 2x-3y = 6
Find the slope of the given line by rewriting it in the slope-intercept form.
Add 3y to both sides.
Subtract 6 from both sides.
Divide both sides by 3.
or
Compare this with:
The slope of the given line is m = 2/3
A line that is perpendicular to this will have a slope that is the negative reciprocal of , so the slope of the new line is .
The equation of the new line is:
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