Final answer:
The slope of the given line is 7/4.
Step-by-step explanation:
To find the slope of a line passing through two points, we can use the formula:
m = (y2 - y1) / (x2 - x1)
Given the points (-5,-7) and (7,14), we can substitute the x and y values into the formula:
m = (14 - (-7)) / (7 - (-5))
Simplifying further, we get:
m = 21/12
Therefore, the slope of the line is 7/4.