The slope of any line can be calculated using the following rule:
slope = (y2-y1) / (x2-x1)
The given points are (-14,-10) and (7,5), therefore:
y2 = 5
y1 = -10
x2 = 7
x1 = -14
Substitute with these values to get the value of the slope as follows:
slope = (5--10) / (7--14) = 5/7