A line segment on a coordinate plane. The x-asis ranges from negative 4 to 7 in unit increments. The y-axis ranges from negative 5 to 2 in unit increments. The line extends downward from point upper S on the top left to point upper T on the bottom right.
Given the endpoints S(−3,1)
and T(5,−4)
, calculate midpoint M
.
(1 point)
Responses
(1,−1.5)
left parenthesis 1 comma negative 1.5 right parenthesis
(2,−3)
left parenthesis 2 comma negative 3 right parenthesis
(−4,2.5)
left parenthesis negative 4 comma 2.5 right parenthesis
(−1,0.5)
To find the midpoint of a line segment, you can use the midpoint formula:
Midpoint (M) = ((x1 + x2)/2, (y1 + y2)/2)
Given that the endpoints are S(-3,1) and T(5,-4), we can substitute the coordinates into the formula:
M = ((-3 + 5)/2, (1 + (-4))/2)
= (2/2, (-3)/2)
= (1, -1.5)
Therefore, the midpoint M is (1, -1.5).