Xand y intercepts of the equation 2x-3y=7 ?

Working with equations like this always try to solve the equation for y. 

2x-3y = 7

-3y = -2x + 7 

now divide everything by -3

y = (2/3)x + (7/3) 

now to find the intercepts you set x = 0 and y = 0 

lets find the y intercept that is when x=0 

so y = (2/3)0 + 7/3 

so y = 7/3  is our y intercept 

now find x intercept that when y = 0

0 = (2/3)x + (7/3)

(-7/3) = (2/3)x now multiply everything by 3 

we get 

-7 = 2x 

and x intercept is 

(-7/2) = x 

The household makes $424.45