Question

1
which of the following best describes the equation below?

( y = \frac{x}{3} + 15^3 )

a. neither linear nor nonlinear
b. linear
c. nonlinear
d. both linear and nonlinear

Explanation:

A linear equation in two variables has the form $y = mx + b$ (slope-intercept form), where $m$ (slope) and $b$ (y-intercept) are constants. The given equation $y = \frac{x}{3} + 15^3$ can be rewritten as $y = \frac{1}{3}x + 3375$, which fits the linear form with $m = \frac{1}{3}$ and $b = 3375$. Thus, it is linear.

Answer:

B. linear