Final answer:
The coordinates of the midpoint for the line segment with endpoints Y (4,8) and Z (-1, -4) are found using the midpoint formula and are (1.5, 2), which corresponds to answer choice B.
Step-by-step explanation:
To find the coordinates of the midpoint for the line segment with endpoints Y (4,8) and Z (-1, -4), we use the midpoint formula which is given by:
( ( x_1 + x_2 ) / 2 , ( y_1 + y_2 ) / 2 )
Applying the endpoints Y (4,8) and Z (-1, -4) to the formula:
( ( 4 + (-1) ) / 2 , ( 8 + (-4) ) / 2 )
( 3 / 2 , 4 / 2 )
( 1.5, 2 )
Therefore, the coordinates of the midpoint are (1.5, 2).
So, the answer is B. (1.5, 2).