we have (x1, dividend1) = (0,1.38) and (x2, dividend2) = (4, 2.06)

the slope between these two points, m = (dividend2 - dividend1)/(x2 - x1)

=> m = (2.06 - 1.38)/(4 - 0) = 0.68/4 = 0.17

using the point-slope form, we can find a linear function for the information:

y - dividend1 = m(x - x1)

=> y - 1.38 = 0.17(x - 0)

=> y = 0.17x + 1.38 ...........this is the linear function

this is not a direct variation, since two quantities vary directly if one quantity is a constant times the other. that is, if x and y are our quantities then for direct variation we must have:

y = kx, where k is a constant. you see here that is not the case, we have y = kx + c, where k and c are constants (k happens to be the slope, which we call m)

i suppose m is what you are calling the slope. as you can see, we found it above (these questions were asked in the wrong order!). i'm not sure exactly what you are looking for in this answer but i can tell you, since m is positive, we have increasing dividends with each passing year, the increase is constant(b) If the function describing this information is in the slope-intercept form,

what is m and what is its interpretation?