Write a ratio expressed in the slope of the line through each pair of points (-6,-4) and (21,5)

The slope of a line can be found using the formula:

m = (y2 - y1) / (x2 - x1)

Using the points (-6,-4) and (21,5), the slope can be calculated as:

m = (5 - (-4)) / (21 - (-6))
= (5 + 4) / (21 + 6)
= 9 / 27
= 1/3

Therefore, the ratio expressed in the slope of the line through the points (-6,-4) and (21,5) is 1/3.