To determine the slope of the linear equation $y = 2x + 1$, you can use the standard form of a linear equation, which is $y = mx + b$, where:

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

In the given equation $y = 2x + 1$:

• The coefficient of $x$ is $2$, which means the slope ($m$) is $2$.
• The y-intercept ($b$) is $1$.

So, the slope of the line $y = 2x + 1$ is $2$.

Would you like more details or have any questions?

Here are some related questions:

1. How do you find the y-intercept of a linear equation?
2. What is the significance of the slope in a linear equation?
3. How would you graph the equation $y = 2x + 1$?
4. How do you determine the slope from two points on a line?
5. What does a slope of 0 mean for a line?
6. How does a negative slope affect the direction of a line?
7. Can a vertical line have a slope? Why or why not?
8. How would you write the equation of a line parallel to $y = 2x + 1$?

Tip: To quickly identify the slope in a linear equation, look for the coefficient of the $x$-term in the form $y = mx + b$.