There is something missing from this question. It cannot be answered as it appears.
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A line segment is a straight line that has endpoints.
We're having a bit of trouble making out the line shown. "ab" and "ac" would not be the labels of a point ... they would be the labels of two line segments both emanating from the same point called "a". So your point has to be either 'b' or 'd' or both. We'll be able to put a finer point on it if you'll let us have a look at the picture of the line that goes along with the question.
Point B
Using a compass and ruler: # Label the ends of the line you wish to bisect as A and B. # Construct two circles centred at A and B, large enough that they almost reach the other point and have the same size. Label the points they intersect at as C and D. # Draw a straight line between C and D. The point it intersects the original line is the halfway point; any bisector must pass through that point.
A map of europe