What is the gradient of the straight line parallel to the straight line y = 2x + 4?

1. Break Down the Problem

We need to determine the gradient (slope) of a line that is parallel to the given line represented by the equation $y = 2x + 4$.

2. Relevant Concepts

The general form of a linear equation is $y = mx + b$, where $m$ represents the gradient or slope of the line. Lines that are parallel share the same slope.

3. Analysis and Detail

From the equation $y = 2x + 4$:

• The slope $m$ is identified as $2$.

Since parallel lines have identical gradients, the gradient of the line parallel to this one is also $2$.

4. Verify and Summarize

We have confirmed the slope of the given line, and thus the gradient of any line parallel to it is the same.

Final Answer

The gradient of the straight line parallel to the line $y = 2x + 4$ is $2$.