Respuesta :

You are to take the 2 intercepts given and write a linear equation for y as a function of x.

If the x- and y-intercepts are (-2,0) and (0,3) respectively, the slope of this
                   3 - 0            3
line is m = ------------ = -----
                    0 - (-2)       2

To obtain the equation in slope-intercept form, 

start with y = mx + b.  We have just found that m = 3/2, and the problem statement has already told us that the y-intercept is (0,3).

Thus, the desired equation is y = (3/2)x + 3.