Consider$\newcommand{\Balance}{\operatorname{Balance}}$$\newcommand{\Income}{\operatorname{Income}}$Consider the following model:
$Balance = B_0 +B_1 * Income + B_2 * Gender$$\Balance = B_0 +B_1 * \Income + B_2 * \operatorname{Gender}$
Gender is a qualitative variable so we are going to use a dummy variable such that it is 0 when its male and 1 when its female.
So,
$Balance(Income,Male) = B_0 + B_1 * Income$$\Balance(\Income,\operatorname{Male}) = B_0 + B_1 * \Income$
$Balance(Income, Female) = B_0 + B_1 * income + B_2$$\Balance(\Income, \operatorname{Female}) = B_0 + B_1 * \Income + B_2$
Does this mean that being a male has on effect on the balance and if you are a male, your balance would depend only on the income? And if you are a female, then your balance depends on both you income and gender?