Given:

Taking ln on both sides we get

ln k = -+ lnA ………. Equation 1

As know following Equation 1 represents the equation of line i.e. y=mx+c,

Where m is the slope of the graph and c is y-intercept on comparing with Equation 1 we get

y is ln k, x is 1/T, m is -E_a/R, c is ln A

since the slope is negative and there is a y-intercept only one graph follows that graph 1.

In graph 2 the slope is positive so it is incorrect.

In graph 3 the slope is positive so it is incorrect.

In graph 4 the slope is positive so it is incorrect.