Find line tangent to circle at poiint (25, 3).

[skatru]

So you have a circle with an origin of (20,15). There is a line that is tangent to the circle at the point (25,3). I need to find that line and I'm unsure how to proceed.

I know I have y=m(x-x1)+y1
one point (25,3)

I need to find m=change y/change of x

Any help appreciated. Thanks

 

[stapel]

So you have a circle with an origin of (20,15). There is a line that is tangent to the circle at the point (25,3). I need to find that line....

Just use the algebra you already know:

The radius is the length of between the center (given) and any point on the circle (also given). What is the equation of that line?

Tangents are, by definition, perpendicular, so the line you seek is perpendicular to the line you just computed. What then is the slope of the line you seek?

You now have the slope, and you were given the point. Plug them into any of the straight-line formulas you memorized back in algebra.

Eliz.

 

[skatru]

Thanks!