Solution assignment 05 Tangent line to graph

Calculate the equation of the line through the point $P(0,1)$ parallel to the line:

$y=-2x+5$

We can calculate the equation of this line with the formula:

$y-y_0=m(x-x_0)$

with:

$(x_0,y_0)=(0,1)$

The line has to be parallel to the line:

$y=-2x+5$

which has a slope equal to $-2$ . The required line must have the same slope (parallel) and thus $m=-2$ .
The equation of the required line is:

$y-1=-2(x-0)$

or:

$y=-2x+1$