Final answer:
The slope of the line passing through the points (2,8), (1,6), and (0,4) is calculated using the slope formula and is found to be 2.
Step-by-step explanation:
To find the slope of a line passing through the given points (2,8), (1,6), and (0,4), you can use any two points on the line because the slope is constant. Using the slope formula slope (m) = (y2 - y1) / (x2 - x1), we can calculate the slope between two points. For example, using the points (2,8) and (1,6), we get:
m = (6 - 8) / (1 - 2) = (-2) / (-1) = 2
Thus, the slope of the line is 2. This is confirmed by checking the slope with the other points: (1,6) and (0,4), which also gives m = (4 - 6) / (0 - 1) = 2. Therefore, we have successfully found that the slope of the line connecting these points is 2.