A straight line is fit to a data set (ln $x, y$). This line intercepts the abscissa at ln $x = 0.1$ and has a slope of $-0.02$. What is the value of y at $x = 5$ from the fit?

The equation of straight line with slope and the coordinates (x,y) is Y=mX+C where “C” is constant. Since the graph is plotted in Y against Ln x so the above equation modifies as Y=m LnX + C. All points are given and we can find the constant “C’. Hence option A is correct.