The slope of the line given is 8/-5.
To solve for the slope, you can use the equation X2 - X1 over Y2 - Y1.
The coordinates fir this equation are (-1,4) and (4,-4). The second coordinate pair (4,-4) is filled into X2 and Y2, and the first coordinate pair (-1,4) is filled into X1 and Y1.
The equation will say (4 - (-1))/(-4 - 4). Since you are subtracting a negative in the numerator, you change the operation to addition. Now you take (4 + 1)/(-4 - 4), and simplify. 4 + 1 = 5 and -4 - 4 = -8.
Thus meaning the slope is 5/-8. I hope this helps!