Question

The equation Y-7/2=1/2(x-4) is written in point-slope form. What is the y-intercept of the equation?

A. -11/2
B. -1/2
C. 1/2
D. 3/2

Answer 1

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.