What is the slope intercept equation of the line that contains the points (1,2) and (0,2)?

First let us find the slope;

Slope for (x₁, y₁) and (x₂, y₂):      (1, 2) and (0, 2)

Slope:      (y₂ -y₁) / (x₂ -x₁)

Slope:      ( 2 - 2) / (0 - 1)  =  0/-1

Slope = 0

Using (y - y₁) = m(x - x₁)

using (1, 2) as  (x₁, y₁)

(y - y₁) = m(x - x₁)

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

y - 2 = 0

y = 0 + 2 

y = 2

y = 2 is the equation of line through both points in the slope intercept form.