Final answer:
The y-intercept of the equation Y-7/2=1/2(x-4) is 3/2, and to find it, we set x to 0 and solve for Y, arriving at the answer choice D.
Step-by-step explanation:
The question asks us to find the y-intercept of the equation Y-7/2=1/2(x-4) which is written in point-slope form. To find the y-intercept, we set x to 0 and solve for Y. Starting with the equation:
Y - 7/2 = 1/2(0 - 4)
Y - 7/2 = 1/2(-4)
Y - 7/2 = -2
Now we add 7/2 to both sides:
Y = -2 + 7/2
Y = -4/2 + 7/2
Y = 3/2
The y-intercept of the equation is 3/2, which corresponds to answer choice D.