Question

Determine value of k so that following system has one solution.
x^2 -2x-y+4= 0
y = kx+3

Answer 1

The first equation is a parabola of soe sort. So what you need to do is find where it and the line only touch at one point.

Answer 2

for example.

Answer 3

i used system of equation to get x^2 -2x-kx-3+4 = 0
But what do i do next though

Answer 4

it has something to do with b^2 - 4 a c = 0

Answer 5

Well, what is the vertex of that parabola at? I ask because if you are only going to touch one point, then the vertex or near it are likely unless the line has a bunch of slope...