Analyzing Function y=2x-3: Is It Increasing or Decreasing?

To determine whether the function $y = 2x - 3$ is increasing or decreasing, we need to analyze the slope of the linear function.

We start by identifying the equation given: $y = 2x - 3$.

This equation is in the standard linear form, $y = mx + b$, where:
$m$ is the slope, and
$b$ is the y-intercept.

The slope $m$ in this equation is $2$. In the context of linear functions:

• If m > 0 , the function is increasing.

• If m < 0 , the function is decreasing.

• If $m = 0$, the function is constant (neither increasing nor decreasing).

In our function, the slope $m = 2$, which is greater than zero. Therefore, we can conclude that the function $y = 2x - 3$ is increasing.

As a result, the function is increasing.