Question 914436
x^2-6x+9=mx-5  Good work
x^2 - 6x - mx + 14 = 0
x^2 -(6+m)x + 14 = 
Re: Discriminant
(6+ m)^2 ≥ 56
m = 3, for ex: Line would be {{{y = 3x-5}}}
 (9)^2 ≥ 56  
{{{sqrt(81-56) = sqrt(25)}}} 
{{{x = (9 +- sqrt( 25))/(2) }}}
(2,1) and (7,16 ) would be the solutions for this system

{{{drawing(300,300,   -10,10,-10,20,  
 grid(1),
circle(2, 1,0.4),
circle(7,16,0.4),
graph( 300, 300, -10,10,-10,20,0, x^2-6x+9, 0,3x - 5))}}}