If the lm curve is vertical and government spending rises by g, in the is–lm analysis, then equilibrium income rises by:

The equilibrium income will not change.

Explanation:

LM curve shows the liquidity preference and money supply, It represents the money market. It is generally an upward sloping curve showing a positive relationship between interest rates and income.  

Vertical LM curve shows that demand and supply of money are constant at a given income level. So, with the increase in government spending, only the interest rates will be affected. The equilibrium income level will remain the same.

even though you have attached neither the chart nor the generalizations, i have located them online. the right answer is d, since they are asking you about a generalization. you can only infer from the chart that between 2008 and 2009 the number of employed workers decreased significantly (from over 115 millions to 107 millions approximately), which signals some type of economic crisis.