Question

AB¯¯¯ has endpoints at A(−6,−3) and B(2,7). What are the coordinates of the midpoint, M, of the segment?

a) M(−2,2)
b) M(−1,2)
c) M(0,4)
d) M(1,5)
What are the coordinates of point B?
a) (8,8)
b) (4,6)
c) (3,3)
d) (2,7)

Answer 1

The midpoint M of the segment with endpoints A(-6, -3) and B(2, 7) is M(-2, 2), and the coordinates of point B are (2, 7).

Step-by-step explanation:

To find the midpoint M of the segment with endpoints at A(-6, -3) and B(2, 7), we use the midpoint formula which is ( (x1 + x2)/2, (y1 + y2)/2 ). Applying the coordinates of A and B,

M = ( (-6 + 2)/2, (-3 + 7)/2 )

M = ( -4/2, 4/2 )

M = ( -2, 2 )

Therefore, the coordinates of the midpoint M are (-2, 2), which is option a).

Regarding the coordinates of point B, they are given in the question as (2, 7). So the answer to the second part is option d).