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**Blahdkm** I have to find all points of intersection of the circle "x^2 + (y-1)^2=25" and the line "y=-7x+26" using a system of equations. How?

I also have the triangle with Vertices at A(13,13), B(9,3), and C(-1,-1). From that I have to find the equation of the median AM(M is the midpoint of BC), and the equation of BN(N is the midpoint of AC), what exactly is the "equation of the median".

Secondly, I have to use these equations to find P(the point of intersection of AM and BN), how?

Then I must prove the distance between P and M is 1/3 the length of the median AM, why?

All help is much appreciated.