The equation $y = 1 + 2x$ is a linear equation in two variables, $x$ and $y$. It represents a straight line when plotted on a coordinate plane.

Breakdown:

• Slope: The coefficient of $x$, which is $2$, is the slope of the line. This means for every unit increase in $x$, $y$ increases by 2 units.
• Y-intercept: The constant term $1$ is the y-intercept. This means the line crosses the y-axis at $y = 1$.

Example:

If $x = 0$, then: $y = 1 + 2(0) = 1$ If $x = 1$, then: $y = 1 + 2(1) = 3$

So, two points on the line would be $(0, 1)$ and $(1, 3)$.

Would you like to see the graph of this line or a more detailed explanation?

5 Related Questions:

1. What does the slope represent in a linear equation?
2. How do you calculate the slope between two points on a line?
3. How can you write the equation of a line given its slope and one point?
4. How do you solve for $x$ in $y = 1 + 2x$ if a specific $y$ value is given?
5. What is the general form of a linear equation?

Tip: When analyzing linear equations, always identify the slope and y-intercept to understand how the line behaves.