How could the function y=3t^2 +4 be plotted to produce a strait line? What is the numeric value of the slope?

Question

How could the function y=3t^2 +4 be plotted on a graph to produce a strait line? What is the numeric value of the slope and the intercept of the line?

Answer 1

write the equation as:

y-4=3t^2

take the ln of both sides:

ln (y-4) = ln[3t^2]=

ln3+lnt^2=

ln3+2lnt

if you plot ln (y-4) vs. ln (t), the slope of the line will be 2