Final answer:
The slope of a line passing through the points (-2,5) and (8,30) is calculated using the slope formula and results in a slope of 2.5.
Step-by-step explanation:
To find the slope of a line that passes through two given points, you can use the slope formula: slope (m) = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.
For the points (-2,5) and (8,30), the calculation would be:
Subtract the y-coordinates: 30 - 5 = 25.
Subtract the x-coordinates: 8 - (-2) = 10.
Divide the difference in y-coordinates by the difference in x-coordinates: 25 / 10 = 2.5.Therefore, the best choice for the slope of the line that passes through the points (-2,5) and (8,30) is 2.5.