the equations are
y = x -14
y = x + 12
now we will evaluate the slope of both the line
for
y = x - 14
compare it with standard form of line
y = mx + C
here m is the slope of line
so for y = x - 14 the slope is coefficient of x
that is m = 1
now for
y = x + 12
m = 1
both the slopes are equal
so the both lines will be parallel to each other.