Question

B is the midpoint of segment AC on the coordinate plane. The coordinates of the 3 points are: A (-4,5)

.B(x, 2), and C (9, y). What are the values of x and y?

Answer 1

x=2.5 and y=-1

Explanation:

Firstly we have to state the formula to avoid making mistakes when calculating the points.

So we use the midpoint formula to be able to calculate; midpoint=(x1+x2 , y1+y2)

2 2

So when calculating x we are goin to take the coordinates A(-4,5) and C(9,y)

then we substitute into the formula accordingly so since x will be the midpoint calculation we will say, (-4+9) =2.5 meaning x = 2.5

2

Next, inorder to find y we will ...

5+y=2 and then we will have to get rid of the

2

denominator by multiplying the denominator to both sides of the equals sign. The 2 will cancel each other out then 2×2 =4 an equation will be formed ; 5+y=4 work it out then it will bring you to y= -1 as the answer