how do you make this into an equation?

whats the x and y intercept?

She has two jobs, at her first job she makes $10 per hour, at her second job she makes $12 per hour. last week she made $440.

10 x + 12 y = 440

if x = 0, that is the y axis intercept
12 y = 440
y = 36 2/3 hours

if y = 0 , that is the x axis intercept
10 x = 440
x = 44