SOLUTION: Find the equation of the line with slope -1 that is the tangent to the curve
y= 1/(x-1). (5 marks: 1 mark each for a graph, for the general equation of the line, for getting the
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Question 322081: Find the equation of the line with slope -1 that is the tangent to the curve
y= 1/(x-1). (5 marks: 1 mark each for a graph, for the general equation of the line, for getting the quadratic, for solving for k, and for the solution).
I would really appreciate if someone could solve it for me.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
A line with a slope of -1 would have a slope-intercept form of,
Since , then solve for using ,
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As you can see from graphing the equations, that only solves for one line.
You can use a symmetry argument to find the other line, , since the perpendicular line, is perpendicular to both and intersects at both intersection points.
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Two solutions:
and
When , then
The other line is then,
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What's k?
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