Final answer:
The slope of the line through the points (5,3) and (-3,-8) is calculated using the slope formula and is found to be 1.38 to the nearest hundredth.
Step-by-step explanation:
The slope of a line is calculated as the change in the y-values divided by the change in the x-values, which is often described as "rise over run". To find the slope of the line that passes through the points (5,3) and (-3,-8), we use the formula:
m = (y2 - y1) / (x2 - x1)
Plugging in the coordinates of the points into the formula:
m = ((-8) - (3)) / ((-3) - (5))
m = (-11) / (-8)
m = 1.375
Therefore, the slope of the line to the nearest hundredth is 1.38.