Answer
The lines are intersecting at a single point.
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
To this we need to transform the equations.
$4x+y=24 <=> y=-4x+24; m=-4$
$x+2y=2<=> y=-\frac{1}{2}x+1;m=-\frac{1}{2}$
If lines are parallel or identical they hav the same slope, if they do not the slope is different.