# Thread: Determine the Co-ordinates of the point

1. ## Determine the Co-ordinates of the point

This question was on my last test and i got completely stumped. Can someone please show me how to do it?

Determine the Co-ordinates of the point on the graph of $y=x^2-8x+14$ where the slope of the tangent is -2. Find the equation of the tangent and show that this tangent touches the curve $y=-x^2-4x+4$. what are to co-ordinates of this point of contact?

2. Where does $y'=-2?$

3. This is exactly the same as the last question you just asked

1. Find the derivative of the equation (tangent gradient) ie 2x + 8

2. using this it is possible to find location ie x= 3. Plug this back into original equation to find y

3. Use x,y,m to create y=mx+c equation for tangent

4. To find intercept points of two lines, simply sub one into the other

Calypso