To determine a possible equation for the green line, let's analyze the given diagram:

1. Slope Analysis:

   • The red line has the equation $y = 2x + 3$. Its slope is $m = 2$.
   • The green line forms alternate interior angles (110° and 70°) with the black transversal. Since alternate interior angles are equal, the green and red lines are parallel.

2. Parallel Lines:

   • Parallel lines have the same slope. Hence, the slope of the green line is also $m = 2$.

3. Equation of the Green Line:

   • The green line's equation is of the form $y = 2x + b$, where $b$ is the $y$-intercept.
   • To determine $b$, we would need a point on the green line. Since the question only asks for a possible equation, we can choose any reasonable $y$-intercept, $b$.

4. Answer:

   • A possible equation for the green line is $y = 2x - 4$ (or any equation of the form $y = 2x + b$).

Would you like more details on how the slope or alternate interior angles were used?

Related Questions:

1. What are alternate interior angles, and why are they equal for parallel lines?
2. How do we calculate the slope of a line given its equation?
3. What is the general form of a linear equation?
4. How do you determine the equation of a line given a point and a slope?
5. Why do parallel lines always have the same slope?

Tip:

For parallel lines, focus on the slope—it's the key to finding equations when you know one line's equation.