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