Question

M is the midpoint of line segment AB. If the coordinates of M are (2, 6) and the coordinates of B are (5, 10), which of the following represents the coordinates of point A?

Answer 1

Answer:

The coordinates are A(-1,2)

Step-by-step explanation:

we know that

The formula to calculate the midpoint between two points is equal to

$M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

In this problem we have

$M(2,6)\\A(x_1,y_1)$

$B(x_2,y_2) ---> B(5,10)$

substitute the given values

$(2,6)=(\frac{x_1+5}{2},\frac{y_1+10}{2})$

Solve for $x_1$

$2=(x_1+5)/2\\4=x_1+5\\x_1=4-5=-1$

Solve for $y_1$

$6=(y_1+10)/2\\12=y_1+10\\y_1=12-10=2$

therefore

The coordinates are A(-1,2)