The given equation is slope-intercept form where the general form is, y = mx + b where m is the slope and the y-intercept is b.
From the equation it can be identified that m = 1/2 and b = 6. The slope of the line that is parallel to the given equation is also 1/2. Thus, using the slope-point form of the forming the equation,
y - y₁ = m(x - x₁)
Substituting the known values, y - (-2) = (1/2)(x - 0) y + 2 = x/2
Transposing the constant to the right-hand side of the equation the equation becomes, y = x/2 - 2
