Find the equation of the line passing through the points (0,1) and (-2,0). write the equation in slope-intercept form.

Since we want slope intercept form, we need to find the slop and the intercept.  The y-intercept is given, (0,1), so b = 1.  The slope is calculated using the slope formula (y2-y1)/(x2-x1):
m = (0-1)/(-2-0) = -1/-2 = 1/2
so the final equation is y = x/2+1

Or you can use point slope form y-y1 = m(x-x1)
y-1 = (1/2)(x-0)
y-1 = x/2
y = x/2+1