This table shows the input and output values for an exponential function f(x) . what is the ratio of outputs for any two inputs that are one value apart?

that just means to divide by

pick any 2 consecutive points and divide the y value of the one with the higher x value by the other y value

x=0 and x=1

-1 and -2

-2/-1=2

ratio is 2

equation of line passing through the points (3,-2) and (4,6) is