That is great reasoning. I made a mistake in my original post the slope should be 2 just as jhevon has said.
A Circle with center (-4,2) has a line tangent to it at (-2,6). Find the equation of the tangent.
I want to check if i got the right answer for this question.
I found the slope of the line of both points which came out to be .
Since the the line is tangent the slope would be the reciprocal of which is -2.
Plug in the slope with the points of the tangent (-2,6)... and I got the equation .
Does this seem right? It just looks like it's too easy...
Actually that equation, which your right about being the line connecting the two points, would be correct, but I have to find the equation of the line going through the points (-2,6) while at the same time being tangent to a circle with center (-4,2).
So everything is fine and I got the answer right?