Final answer:
The British hoped to preserve Texas independence in order to prevent the annexation of Texas by the United States and to maintain their own political and economic interests in North America.
Step-by-step explanation:
The British hoped to preserve Texas independence because they believed it would prevent the annexation of Texas by the United States. This would serve their political and economic interests by maintaining a balance of power in North America and potentially opening up trade opportunities with the independent nation of Texas.
By forming an alliance with Texas, Britain could also establish a foothold in the region and potentially exert influence over its affairs. This was particularly important for Britain as they were concerned about the expansionist ambitions of the United States and wanted to maintain their own interests in the Americas.