Question

In the log-linear matching equation, the term 'log k' corresponds to which element of the algebraic equation for a line

A) Slope
B) Intercept
C) Exponent
D) Y-intercept

Answer 1

In a log-linear matching equation, 'log k' corresponds to the y-intercept, which is the constant term showing where the line crosses the y-axis when x is 0.

Step-by-step explanation:

In the log-linear matching equation, the term 'log k' corresponds to the y-intercept of the algebraic equation for a line. When the equation of a line is written in the form y = a + bx, the b term represents the slope, and the a term represents the y-intercept. If the equation were written as ln k = a + bx, setting x to 0 would show us the value of ln k at the y-intercept, which is a. Therefore, in the context of a log-linear matching equation, 'log k' when x is zero, would be the constant term showing where the line crosses the y-axis, thus it is the y-intercept.