Answer
The lines are identical.
Work Step by Step
To find out if graphs of equations are identical lines, parallel lines or lines intersecting at a single point you need to compare the slopes first. The slope is the value multiplied by x when the equation is in this form: y=mx+b
For this we need to transform the equations.
$4x-y=6 <=> y=4x-6 $
$\frac{1}{2}y=-3+2x <=> y=4x-6$
If lines are parallel or identical they have the same slope, if they do not and are therefore intersecting at a single point the slope is different. While tranforming the equations we notice tht that the equations are the same. This means that they are identical.