In order to calculate the slope given two points, we can use the slope formula:
ΔY/ΔX = (Y2 - Y1)/(X2 - X1)
reading the graph left to right, (-4,-7) will be our first point; these values correspond to x1 and y1, with x1 = -4 and y1 = -7. (-2 ,-19) will be the second point, with x2 = -2 and y2 = -19.
now, plug the values into the equation!
slope = (-19-(-7))/(-2-(-4))
=(-19+7)/(-2+4)
=(-12/2)
=-6