Solve the equation for y, thus putting the equation in slope-intercept form:

4y = 3x + 8

y = 3/4x + 2

However, in constructing a table of values, I prefer to make it as easy on myself as possible. In other words, since the slope (coefficient of x) is a fraction, pick values for x that are multiples of 4, thus making it easier to graph the coordinates on the Rectangular Coordinate system.

x y

0 2

4 5

-4 -1

In my opinion, it is easier to graph these whole number values than it is fraction or decimal coordinates.