Question

8. Find the endpoint of AB given the midpoint, M, and the other endpoint, A.

M(-5.5, 2), A(2.3,-4.6)

Answer 1

Explanation:

given 2 points

A (xa, ya)

B (xb, yb)

their midpoint is

M ((xa + xb)/2, (ya + yb)/2)

in our case

A (2.3, - 4.6)

M(-5.5, 2)

so,

-5.5 = (2.3 + xb)/2

-11 = 2.3 + xb

xb = -13.3

2 = (-4.6 + yb)/2

4 = -4.6 + yb

yb = 8.6

so,

B = (-13.3, 8.6)

Answer 2

Answer: (-13.3, 8.6)

Explanation:

First we want to identify which side of the graph A lands on compared to x. We see that A's X value is greater, meaning it is on the right side of M.

We can then start finding the opposite coordinate by finding the distance between the x and y values of A and M. We can do this By subtracting the M values from the A values:

`x-distance = 2.3-(-5.5) = 7.8\\y-distance = -4.6 - 2 = -6.6`

We then need to subtract these values from the M coordinate in order to find the coordinate B opposite of A:

`B-xValue = -5.5 - 7.8 = -13.3\\B-yValue = 2 - (-6.6) = 8.6`

From this, we can tell our coordinate B has the value: (-13.3, 8.6)

Hope this helps, if you need any clarification please let me know.