Find `dy/dx if y=2x-3`

Answer

To find \(\frac{dy}{dx}\) for the function \(y = 2x - 3\), we will follow these steps:

### Step 1: Identify the function
We start with the function given:
\[ y = 2x - 3 \]

### Step 2: Differentiate with respect to \(x\)
To find \(\frac{dy}{dx}\), we differentiate \(y\) with respect to \(x\):
\[ \frac{dy}{dx} = \frac{d}{dx}(2x - 3) \]

### Step 3: Apply differentiation rules
Using the rules of differentiation:
- The derivative of \(2x\) is \(2\) (since the derivative of \(x\) is \(1\) and we multiply by the constant \(2\)).
- The derivative of a constant (\(-3\)) is \(0\).

Thus, we have:
\[ \frac{dy}{dx} = 2 - 0 \]

### Step 4: Write the final answer
So, the result is:
\[ \frac{dy}{dx} = 2 \]

### Summary of the solution
The derivative of the function \(y = 2x - 3\) with respect to \(x\) is:
\[ \frac{dy}{dx} = 2 \]