Final answer:
The slope of the line that passes through the points (-6,5) and (-3,20) is 5.
Step-by-step explanation:
The slope of a line is determined by the change in y-coordinates divided by the change in x-coordinates between two points on the line. To find the slope of the line passing through the points (-6,5) and (-3,20), we can use the formula:
slope = (y2 - y1) / (x2 - x1)
Substituting the given values, we get:
slope = (20 - 5) / (-3 - (-6)) = 15 / 3 = 5
Therefore, the slope of the line that passes through the points (-6,5) and (-3,20) is 5.