Explanation:
a parallel line has the same slope (inclination).
the slope is always the factor of x in the line equation, which is 1/2.
the standard form of a line is
y = ax + b
we know a = 1/2.
to get b we use the given point :
-5 = 1/2 × -6 + b
-5 = -3 + b
b = -2
so our line equation is
y = (1/2)x - 2
but if your teacher understands "standard form" as "point-slope" form (I don't, but others do), then we need to use
y - y1 = a(x - x1)
where (x1, y1) is a point on the line.
and that form would then be in our case
y - -5 = (1/2)(x - -6)
y + 5 = (1/2)(x + 6)