i need help finding the slope of the line passing through the points (-1,7) and (3,3).

delta y/delta x.

OR,
set up as y = mx + b
7=-m+b
3=3m+b
and solve these two for simultaneous equations for m (the slope).

To check your work, m = -1

To find the slope of a line passing through two given points, you can use the formula:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

In this case, the given points are (-1,7) and (3,3).

Let's substitute the values into the formula:

slope = (3 - 7) / (3 - (-1))
slope = (-4) / (3 + 1)
slope = -4 / 4
slope = -1

Therefore, the slope of the line passing through the points (-1,7) and (3,3) is -1.