We are given with the equation <span>2^(x+3)-3=5 and is asked in the prooblem to determine the common base of each side of the equation. we transpose first 3 to the other side making it 8. 8 is equal to 2^3 which makes the common base then equal to 2.</span>
I think the slope is -4/3 because the line goes up 8 times and go left 6 times before going to the next point which is -8/6 and -8/6 simplified is -4/3.