Find the coordinates of the midpoint of the segment given its endpoints.
6. A(5, 8) and B(-1, -4)
the midpoint is the average of the two ends.
So, the x-coordinate is (5-1)/2 = 4
Now you do the y-coordinate.
6. A(5, 8), M(x, y), B(-1, -4).
x-5 = 1/2(-1-5)
X = -3+5 = 2.
y-8 = 1/2(-4 -8)
Y = -6+8 = 2.
(2,7) and (-6,-2)
Find the coordinates of the midpoint of the segment given the endpoints A(5, 8) and B(-1, -4). (No spaces between the
To find the coordinates of the midpoint of a line segment, you can use the midpoint formula. The midpoint formula states that the x-coordinate of the midpoint is the average of the x-coordinates of the two endpoints, and the y-coordinate of the midpoint is the average of the y-coordinates of the two endpoints.
In this case, the coordinates of point A are (5, 8) and the coordinates of point B are (-1, -4).
To find the x-coordinate of the midpoint, you can use the formula:
x_midpoint = (x_A + x_B) / 2
Substituting the values, we get:
x_midpoint = (5 + (-1)) / 2
Simplifying, we have:
x_midpoint = 4 / 2
x_midpoint = 2
Similarly, to find the y-coordinate of the midpoint, you can use the formula:
y_midpoint = (y_A + y_B) / 2
Substituting the values, we get:
y_midpoint = (8 + (-4)) / 2
Simplifying, we have:
y_midpoint = 4 / 2
y_midpoint = 2
Therefore, the midpoint of the line segment with endpoints A(5, 8) and B(-1, -4) is the point (2, 2).