Question

which is the slope intercept form of an equation for the line containing (0,2) with slope -1/2

Answer 1

We will replace in the following expression:

$y-y_1=m(x-x_1)$

That is:

$y-2=-\frac{1}{2}(x-0)\Rightarrow y-2=-\frac{1}{2}x$$\Rightarrow y=-\frac{1}{2}x+2$