Let's analyze the image step by step.

Part A: Complete the Table

The equation given is $y = 2x$, which describes a linear relationship. To fill in the table, we can substitute the $x$-values into the equation to find the corresponding $y$-values.

• When $x = -2$: $y = 2(-2) = -4$
• When $x = -1$: $y = 2(-1) = -2$
• When $x = 0$: $y = 2(0) = 0$
• When $x = 1$: $y = 2(1) = 2$
• When $x = 2$: $y = 2(2) = 4$

Thus, the completed table looks like this:

The values corresponding to the letters "A" and "B" are:

• $A = 0$
• $B = 4$

Part B: Similarity and Difference Between the Lines

The two equations are:

• $y = x$ (red line)
• $y = 2x$ (blue line)

Similarity:

Both lines pass through the origin (0,0), meaning they share the same y-intercept. This means both lines start from the same point on the graph.

Difference:

The difference lies in their slopes:

• The slope of the line $y = x$ is 1.
• The slope of the line $y = 2x$ is 2.

This means the line $y = 2x$ is steeper than the line $y = x$.

Would you like any further details or have additional questions?

Here are some related questions:

1. How do you calculate the slope of a line given two points?
2. How can we determine the y-intercept from an equation?
3. What does the slope tell us about the steepness of a line?
4. How can you graph a line using its slope and y-intercept?
5. How do parallel lines differ from intersecting lines?

Tip: When comparing linear equations, always check both the slope and the y-intercept for differences and similarities.