Q&A for How to Find the Midpoint of a Line Segment

The line segment extends beyond the midpoint a distance equal to the distance between the given end point and the midpoint. As a simple example, if the line segment begins at (0,0) and has a midpoint at (2,3), the line segment extends 2 x-units and 3 y-units beyond (2,3), meaning that the line segment ends at (4,6).

Solve this by inspection: the point's x-coordinate is one-quarter of the way from 2 to 10, which is 4. The point's y-coordinate is one-quarter of the way from 4 to 8, which is 5. Thus, the point's coordinates are (4,5).

As shown in the above article, the midpoint's x-coordinate is halfway between the x-coordinates of the endpoints, 0 and -8 (i.e., -4), and the midpoint's y-coordinate is halfway between the y-coordinates of the endpoints, 8 and 0 (i.e., 4) Thus, the midpoint is located at (-4,4).

(X1 + X2) / 2 , (Y1 + Y2) / 2 Therefore, the midpoint is (6,10)

First of all, there is an infinite number of points on the coordinate plane that satisfy that requirement. However, considering only points on the line that connects points A and B, the required point has an x-coordinate two-thirds of the way from 3 to -2 and a y-coordinate two-thirds of the way from -4 to 5. The x-distance from 3 to -2 is 5. 2/3 of 5 is 10/3 or 3 1/3. Add 3 1/3 to 3 (the x-coordinate of A) to get 6 1/3, which is the x-coordinate of the required point. The y-distance from -4 to 5 is 9. 2/3 of 9 is 6. Add 6 to -4 (the y-coordinate of A) to get 2, which is the y-coordinate of the required point. Thus, the required point is (6 1/3, 2).

5 is the midpoint between a and 3 on the x-axis, and -2 is the midpoint between 4 and b on the y-axis. As for the x coordinates, there is a distance of 2 units from midpoint 5 to end point 3, so you would count 2 units from 5 in the other x direction (to the left), meaning the value of a is 7. As for the y coordinates, there is a distance of 6 units from midpoint -2 to end point 4, so you would count 6 units from -2 in the other y direction (down), meaning the value of b is -8.

Add x values and divide by 2. This will give you the x coordinate of the midpoint. Then do the same with the y values and get the y coordinate of the midpoint. The midpoint will be (8,7).

The complementary angle of 65° is 25°.

The slope is a measurement of the vertical change of a line from one point to another, compared with (divided by) its horizontal change between the same two points.