To find the slope of the equation $y = 2x + 5$, you can use the slope-intercept form of a linear equation:

$y = mx + b$

Where:

• $m$ is the slope of the line
• $b$ is the y-intercept (the value of $y$ when $x = 0$).

Steps to Find the Slope:

1. Identify the coefficient of $x$, which represents the slope.
2. In $y = 2x + 5$, the coefficient of $x$ is $2$.

Conclusion:

The slope ($m$) of the line $y = 2x + 5$ is:

$\boxed{2}$

Would you like a deeper explanation or further assistance?

---

Relative Questions:

1. How does the slope affect the steepness of the line?
2. What does the y-intercept $b = 5$ mean in this context?
3. How would the slope change if the equation were $y = -3x + 5$?
4. Can the slope be zero? What would the line look like?
5. How do you calculate the slope if given two points on a line?

Tip:

The slope tells you how much $y$ changes for every one-unit increase in $x$. A positive slope means the line rises as $x$ increases, and a negative slope means it falls.