Final answer:
The slope of both line AB and line CD is 10/3, calculated using the slope formula between their respective points.
Step-by-step explanation:
To find the slope of a line passing through two points (x1, y1) and (x2, y2), use the formula slope (m) = (y2 - y1) / (x2 - x1). Applying this to points A(2, 8) and B(-1, -2), the slope of line AB is mAB = (-2 - 8) / (-1 - 2) = (-10) / (-3) = 10/3. Similarly, for points C(3, 7) and D(0, -3), the slope of line CD is mCD = (-3 - 7) / (0 - 3) = (-10) / (-3) = 10/3. Therefore, the slopes for both lines AB and CD are 10/3. This demonstrates how the formula computes the slope between any two points on a line, ensuring consistency in determining the slope irrespective of the point pairs chosen along the line.