Final answer:
To determine the slope of the line through (-42.27, 4.4) and (2.27, 3.1), apply the slope formula (rise over run) to find it to be -1.3/44.54 in fraction form.
Step-by-step explanation:
To calculate the slope in fraction form for the line passing through the points (-42.27, 4.4) and (2.27, 3.1), we can use the slope formula which is the rise over the run:
m = (y2 - y1) / (x2 - x1)
By substituting the x and y coordinates of our two points into this formula, we get:
m = (3.1 - 4.4) / (2.27 - (-42.27))
m = (-1.3) / (44.54)
The slope of the line in fraction form is -1.3/44.54, which can be simplified if desired.