Two quantities x and y show a power curve relation $y= 1.3 x^{-2.9}$. Using base-10 logarithmic scales for both x and y axes, the curve is transformed to a line. Find the slope of the line.
A) 1.3
B) 0.11
C)-2.9
D) 2.9

Question

Quizplus · Accepted Answer

The slope of the line in a log-log plot for an equation of the form $y = ax^b$ is given by the exponent $b$. Here, since the equation is $y = 1.3x^{-2.9}$, the slope of the line on a log-log plot is $-2.9$.

Two Quantities X and Y Show a Power Curve Relation y=1.3x−2.9y= 1.3 x^{-2.9}y=1.3x−2.9

Two Quantities X and Y Show a Power Curve Relation $y= 1.3 x^{-2.9}$