Answer
Not congruent
Work Step by Step
To find the length of a segment on a number line, subtract the smaller point from the bigger point.
Starting with LP, we know that $L=-8$ and P=6. Subtracting the smaller one from the bigger one gives: $6-(-8)=6+8=14$.
For MQ, $M=-3$ and Q=12. Subtracting the smaller one from the bigger one gives: $12-(-3)=12+3=15$
These segments are not congruent because they don't have an equal length.