Question

The midpoint of line segment AB is (-2,1). If the coordinates of B are (0,2) what are the coordinates of A?

Answer 1

The required coordinate of A will be at (-4, 0)

When a point bisects a line, it cuts the line into two equal parts and the point on that line is known as its midpoint. The expression for calculating the midpoint of a line is expressed as;

$M(X, Y)= [{ \frac{x_2+x_1}{2} , \frac{y_2+y_1}{2} ]$ where:

$X =\frac{x_2+x_1}{2} \\Y=\frac{y_2+y_1}{2}$

From the question, we are given the following coordinate points

$X=-2\\x_1=0$

Get x₂;

$X =\frac{x_2+x_1}{2}\\-2 =\frac{x_2+0}{2}\\2 \times -2=x_2+0\\-4=x_2\\ Swap\\x_2=-4$

Get y₂;

$Y =\frac{y_2+y_1}{2}\\1 =\frac{y_2+2}{2}\\2 \times 1=y_2+2\\2=y_2+2\\y_2=2-2\\y_2=0$

Hence the coordinate of A will be (-4, 0)

Learn more about the midpoint here: brainly.com/question/18315903