Answer:
To find the slope of the line passing through (-3, 1) and (2, -3), we can use the slope formula:
slope = (y2 - y1) / (x2 - x1)
where (x1, y1) = (-3, 1) and (x2, y2) = (2, -3).
slope = (-3 - 1) / (2 - (-3))
= -4 / 5
So, the slope of the line passing through (-3, 1) and (2, -3) is -4/5.
To find the slope of a line parallel to this line, we need to remember that parallel lines have the same slope. Therefore, the slope of the parallel line is also -4/5.