Thread: Find Equation of line tan to given curve with slope of 2

1. Find Equation of line tan to given curve with slope of 2

y = x^2 - 2x
slope of 2

so the equation slope of the given curve is 2x-2

not sure how to proceed any hints?

2. Re: Find Equation of line tan to given curve with slope of 2

Originally Posted by togo
y = x^2 - 2x
slope of 2
so the equation slope of the given curve is 2x-2

not sure how to proceed any hints?

At what point is it true that $y'=2~?$

when x = 2

4. Re: Find Equation of line tan to given curve with slope of 2

Originally Posted by togo
when x = 2
At what is the point is the tangent?

5. Re: Find Equation of line tan to given curve with slope of 2

alright I am pretty stuck on this one can someone just do it ?

6. Re: Find Equation of line tan to given curve with slope of 2

Originally Posted by togo
alright I am pretty stuck on this one can someone just do it ?
The point is $(2,0)$ the slope is $m=2$ so what is the equation of the tangent?

7. Re: Find Equation of line tan to given curve with slope of 2

oh that simple

y-0 = 2(x - 2)