A,B are two points on a given line L.L is the midpoint of the section AB. find the coordinate of point B if the coordinate of A=7 and the coordinate of L=4
B--------L--------A
|---3----|----3----|
7-4= 3
4-3 = 1
so, B = 1
A(7,0), L(4,0)), B(x,0).
x-7 = 2(4-7).
X = 1.
To find the coordinate of point B, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) can be found using the following formulas:
Midpoint x-coordinate = (x1 + x2) / 2
Midpoint y-coordinate = (y1 + y2) / 2
In this problem, we are given that the coordinate of point A is 7 and the coordinate of the midpoint L is 4. Since L is the midpoint of the segment AB, we can use the midpoint formula to find the coordinate of point B.
Let's substitute the given values into the formula:
Midpoint x-coordinate = (x1 + x2) / 2
4 = (7 + x2) / 2
To isolate x2, we can multiply both sides of the equation by 2:
8 = 7 + x2
Subtracting 7 from both sides gives us:
8 - 7 = x2
x2 = 1
Therefore, the coordinate of point B is 1.