Question

Solve 100 points!!!!

Answer 1

Last option, (5, -11)

Explanation:

Given that the point (8, -5) is 6 units above and 3 units right of the point P(x, y). Find P(x, y).

Since the point (8, -5) is 6 units above P(x, y), this corresponds to the y-value. So simply substract a value of 6 from the y-component.

`P(x,y)=(x,-5-6)=(x, -11)`

The point (8, -5) is 3 units right of P(x, y). This corresponds to the x-value. Simply subtract a value of 3 from the x-component.

`P(x,y)=(8-3,-11)=\boxed{(5, -11)}`

Thus, the point P(x, y) is (5, -11). The last option is correct.

Answer 2

(5, -11)

Explanation:

We can find the coordinates of point P(x, y) based on the information given about its position relative to point (8, -5). Here's how:

Vertical Movement:

Since point (8, -5) is 6 units above point P(x, y), this means P(x, y) must be 6 units below (8, -5). Therefore, the y-coordinate of P(x, y) will be -5 - 6 = -11.

Horizontal Movement:

Similarly, as point (8, -5) is 3 units to the right of P(x, y), P(x, y) must be 3 units to the left of (8, -5).

Hence, the x-coordinate of P(x, y) will be 8 - 3 = 5.

Therefore, the coordinates of point P(x, y) are (5, -11).