Final answer:
The slope of the line passing through (14, 7) and (98, 39) is calculated using the slope formula and simplified to the proper fraction 8/21.
Step-by-step explanation:
To find the slope of the line passing through two points, we use the formula m = (y2 - y1) / (x2 - x1), where m represents the slope, (x1, y1) and (x2, y2) are the coordinates of the two points respectively. Applying this formula to the points given, (14, 7) and (98, 39), we have:
m = (39 - 7) / (98 - 14) = 32 / 84
To simplify the fraction, we divide both the numerator and the denominator by their greatest common divisor, which is 4:
m = 32/4 / 84/4 = 8/21
Thus, the slope of the line is 8/21, which is a proper fraction that represents the rate of change in y for each unit change in x.