The equation: y = 2x/3 + 4 is a line with infinite values for x. So unless you have a y-value to plug in to find the corresponding x-value all you can do is write the equation in terms of y.
x = 3(y-4)/2
The slope and intercepts on the other hand can be determined from the given equation. y= mx + b is slope-intercept form of a linear equation. "m" is the slope and "b" is the y-intercept. Plug in y = 0 to find the x-intercept.