The line x = -14 is a vertical line perpendicular to the x-axis. The equation of the line parallel to x = -14 and passing through the point (-8, 6) is x = -8
The equation of the required line is x + 8 = 0
we have the equation of the line as x=-14 .
since there is no y component, it means that the line is parallel to y-axis, and the line which is parallel to y-axis will have slope 0.
so the line parallel to this line will also be parallel to y-aixs. So it will not have any y component.
so the line passing through (-8,6) and parallel to the line would be
(x-x1) = m (y-y1) this is the general equation were m is the slope but here slope is zero so
x=-8, this is the equation of the line parallel to the given line