Final answer:
The equation can be rewritten in slope-intercept form as Y = x/2 - 1. The y-intercept is -1.
Step-by-step explanation:
The equation (Y - 7) / 2 = (1/2)x - 4 can be rewritten in slope-intercept form by isolating Y. Start by multiplying both sides of the equation by 2 to eliminate the fraction. This gives you Y - 7 = x/2 - 8. Now, add 7 to both sides of the equation to isolate Y: Y = x/2 - 8 + 7. Combining like terms, we get Y = x/2 - 1.
In slope-intercept form, the equation is y = mx + b, where m represents the slope and b represents the y-intercept. Comparing the given equation to the slope-intercept form, we can see that the slope is 1/2. The y-intercept is the value of Y when x equals 0. Substituting x=0 into the equation Y = x/2 - 1, we find that the y-intercept is -1.
Therefore, the y-intercept of the equation is -1.