Drawing the lines of a house district in order to increase the likelihood of minority representatives in the House creates a
a) majority-minority district.
b) partisan gerrymander.
c) incumbent gerrymander.
d) racial gerrymander.

a) majority-minority district.

Explanation:

The act of drawing lines for a House district in such a way that it benefits one group above another is known as gerrymandering. Racial gerrymandering has traditionally been done to disenfranchise minority voters such that white people usually win.

In recent times though there have been calls to use racial gerrymandering to increase minority representation in Congress and one way this was suggested is to create majority-minority districts.  

A Majority - Minority district is the result of drawing lines of a House district such that the minority group is the majority in the district. That way they can then vote a minority candidate into power.