Answer:
The distance is 4.
Step-by-step explanation:
The shortest distance from the point (4,2) to the line y=-2, in this case, would be a straight line perpendicular to y=-2.
For each and every value of "x" on the line, y = -2. The shortest distance occurs at y(4) = - 2.
At this point the distance is:

The distance is 4.
<span> x =(10-√92)/2=5-√ 23 = 0.204 or </span><span><span>x =(10+√92)/2=5+√ 23 = 9.796 </span> </span>