We can identify where each line crosses the y-axis by finding the y-intercept. The y-intercept occurs where $x = 0$.

Here are the equations and their y-intercepts:

• Line A: $y = 2x + 3$
  When $x = 0$, $y = 2(0) + 3 = 3$.
  Y-intercept: 3

• Line B: $y = \frac{1}{2}x - 3$
  When $x = 0$, $y = \frac{1}{2}(0) - 3 = -3$.
  Y-intercept: -3

• Line C: $y = 6 - x$
  When $x = 0$, $y = 6 - 0 = 6$.
  Y-intercept: 6

• Line D: $y - 2x = 7$
  Rearrange to get it in slope-intercept form:
  $y = 2x + 7$.
  When $x = 0$, $y = 2(0) + 7 = 7$.
  Y-intercept: 7

• Line E: $y + 2x = 3$
  Rearrange to get it in slope-intercept form:
  $y = -2x + 3$.
  When $x = 0$, $y = -2(0) + 3 = 3$.
  Y-intercept: 3

Conclusion:

Lines A and E cross the y-axis at the same point, which is $y = 3$.

Would you like any details or have any further questions?

Here are 5 questions related to this topic:

1. How do you find the slope of a line from its equation?
2. What is the significance of the y-intercept in a real-world scenario?
3. How do parallel lines behave in terms of slope and y-intercept?
4. How do we find the point of intersection between two lines?
5. What are the different forms of a linear equation?

Tip: Always convert equations into slope-intercept form $y = mx + b$ to easily identify the slope and y-intercept.