Final answer:
The slope of the line that passes through the points (-1, 3) and (5, -2) is found using the slope formula and is calculated to be -5/6.
Step-by-step explanation:
To find the slope of the line passing through the points (-1, 3) and (5, -2), we can use the slope formula which is defined as the change in y (vertical change) over the change in x (horizontal change). The formula for the slope (m) is: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.
By substituting the given values into the formula, we have:
m = (-2 - 3) / (5 - (-1))
m = (-2 - 3) / (5 + 1)
m = (-5) / (6)
Therefore, the slope of the line is -5/6.
The concept of slope is fundamental in understanding lines on a graph. In this context, slope indicates how steep the line is and the direction it rises or falls as one moves from left to right. It's important to remember that slope is consistent along the entire length of a straight line, as mentioned in the reference information provided.