The formula for determining slope is expressed as
Slope = (y2 - y1)/(x2 - x1)
Where
y2 and y1 are final and initial values of y
x2 and x1 are final and initial values of x
From the information given,
x1 = 3, y1 = - 5
x2 = - 3, y2 = 7
Slope = (7 - - 5)/(- 3 - 3) = 12/-6
Slope = - 2