Final answer:
The slope of the line passing through the points (1,5) and (-2,3) is calculated using the formula (y2 - y1) / (x2 - x1), resulting in a slope of 2/3, which is option c) 2/3.
Step-by-step explanation:
To find the slope of the line passing through the points (1,5) and (-2,3), we use the slope formula:
m = (y2 - y1) / (x2 - x1)
Where (x1, y1) and (x2, y2) are the coordinates of the two points.
Therefore:
m = (3 - 5) / (-2 - 1)
m = (-2) / (-3)
m = 2/3
The slope of the line containing the points (1,5) and (-2,3) is 2/3, which corresponds to option c) 2/3.