Question

Find the endpoint S given R(5,1) and midpoint M(1,4)

Answer 1

Given:

Point R: (5, 1)

Midpoint M: (1, 4)

Since it's been mentioned that point M is a midpoint. Finding S, the graph should look like this:

Let's determine the translation from point M to R, because the opposite of it will be the translation to get point S.

From Point M to R:

`\text{ }\Delta x\text{ = 5 - 1 = 4 (4 units to the right)}`
`\Delta y\text{ = 1 - 4 = -3 (3 units downward)}`

Therefore, getting to the endpoint S, it will have 4 units to the left and 3 units upward.

We get,

`x_S\text{ = 1 - 4 = -3}`
`y_S\text{ = 4 + 3 = 7}`

Therefore, the missing endpoint is: -3, 7