Find the midpoint M of the line segment joining the S= (6,-2) and T= (-8,4)
x midpoint = (6 - 8)/2 = -1
y midpoint = (-2 + 4) / 2 = 1
so ( -1 , 1 )
The midpoint M of the line segment joining S=(6,-2) and T=(-8,4) is (-1,1).
To find the midpoint M of the line segment joining points S(6, -2) and T(-8, 4), we can use the midpoint formula.
The midpoint formula states that the midpoint (M) of a line segment with endpoints (x₁, y₁) and (x₂, y₂) is given by:
M = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)
Using the given coordinates, we can substitute them into the formula to find the midpoint M:
M = ((6 + (-8)) / 2, (-2 + 4) / 2)
M = (-2/2, 2/2)
M = (-1, 1/2)
Therefore, the midpoint M of the line segment joining S(6, -2) and T(-8, 4) is M(-1, 1/2).
To find the midpoint of a line segment, you can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint (M) of a line segment with endpoints S(x1, y1) and T(x2, y2) are given by:
M = ((x1 + x2) / 2, (y1 + y2) / 2)
In this case, the coordinates of the endpoints are S(6, -2) and T(-8, 4). Using the midpoint formula, we can find the coordinates of the midpoint M as follows:
x-coordinate of M = (6 + (-8)) / 2 = -1
y-coordinate of M = (-2 + 4) / 2 = 1
Therefore, the midpoint M of the line segment joining S(6, -2) and T(-8, 4) is M(-1, 1).