Final answer:
Option 2 correctly states the slope-intercept form of the two equations, with Equation 1 being y = (1/2)x - 2 and Equation 2 being y = 2x + 3/7.
Step-by-step explanation:
The question is asking for the correct transformation of the given equations into the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. Let's transform the first equation, y + 4 = (1/2)(x - 4). Subtract 4 from both sides to get y = (1/2)x - 4 - 4, which simplifies to y = (1/2)x - 2. The second equation is already in slope-intercept form: y = 2x + 3/7.
Upon reviewing the provided options, we can see that Option 2 correctly states the slope-intercept form for both equations:
- Equation 1: y = (1/2)x - 2
- Equation 2: y = 2x + 3/7
The information provided in the question about lines Y2, Y3, and the y-intercept being 9 is not directly relevant to the equations we are trying to transform or the options provided.