what does the slope mean in y=3/2x+3 1/2?

In the equation y = 3/2x + 3 1/2, the slope is represented by the coefficient of x, which is 3/2. This means that for every increase of 1 in the x-coordinate, the y-coordinate will increase by 1.5 (or 3/2). The slope also indicates the rate at which the function is increasing or decreasing. In this case, the function is increasing at a rate of 3/2.