Final answer:
The slope of the line passing through the points (-1,6) and (14,3) is calculated as -1/5.
Step-by-step explanation:
The slope of a line that passes through two points can be calculated using the formula m = (y2 - y1)/(x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points. For the points (-1,6) and (14,3), we plug these values into the formula:
m = (3 - 6)/(14 - (-1)) = (-3)/(15) = -1/5.
So, the slope of the line is -1/5, which means for every increase of 5 units in the horizontal direction, there is a decrease of 1 unit in the vertical direction on the graph of the line.