Find the equation of the tangent line to the curve `y=x^2-2x+7` which is parallel to the line `2x-y+9=0`

Explanation

The equation of given curve is `y=x^{2}-2 x+7`

On differentiating with respect to `x`, we get:

`frac{d y}{d x}=2 x-2`

The equation of the line is `2 x-y+9=0`

`Rightarrow y=2 x+9`

This is of the form `y=m x+c`

`therefore` slope of the line `=2`

If a tangent is parallel to the line `2 x-y+9=0`, then the slope of the tangent is equal to the slope of the line.

...