You have the following function:
g(x) = -2/3 x + 5/2
take into account that the general form of the equation of a line can be written as follow:
y = mx + b
where m is the slope of the line and b is the y-intercept.
By comparing the given function with the general form you can notice that slope and y-intercept are:
m = -2/3
b = 5/2