Question

Please answer this question fast in 2 minutes

Answer 1

Answer:

(-20, 19)

Step-by-step explanation:

We need to use the Midpoint Formula, which says that given two points $(x_1,y_1)$ and $(x_2,y_2)$, the midpoint is $(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )$.

Here, we are given one of the endpoints and the midpoint:

endpoint S = (5, -8)

midpoint M = (-7.5, 5.5)

Plug these into the formula. In $\frac{x_1+x_2}{2}$, x1 = 5, and this whole expression is equal to -7.5:

$\frac{x_1+x_2}{2}=\frac{5+x_2}{2} =-7.5$

Solve for x2:

5 + x2 = 2 * (-7.5) = -15

x2 = -15 - 5 = -20

Now, let's find y2. y1 is just -8, and the entire expression for the y-coordinate of the midpoint is equal to 5.5. So:

$\frac{y_1+y_2}{2}=\frac{-8+y_2}{2} =5.5$

Solve for y2:

-8 + y2 = 2 * 5.5

-8 + y2 = 11

y2 = 11 + 8 = 19

The coordinates of T are thus (-20, 19).

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