Question

determine whether the equation y = 7 - 3x represents a linear or nonlinear function. explain. the equation represents a function because it be written in the form y = mx + b.

Explanation:

Step1: Rewrite the equation

The given equation $y = 7-3x$ can be rewritten as $y=-3x + 7$.

Step2: Compare with the form

The form of a linear - function is $y = mx + b$, where $m$ and $b$ are constants. Here, $m=-3$ and $b = 7$. Since the equation $y=-3x + 7$ is in the form $y = mx + b$, it represents a linear function.

Answer:

The equation represents a linear function because it can be written in the form $y=mx + b$.