Question

The coordinates of point t are given. The midpoint of ST is (5, -8) find the coordinates of point S 19. T( - 2, 8)

Answer 1

coordinates of point S are (12, -24)

Explanation:

Midpoint = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)

In this case, the midpoint is (5, -8), and point T is (-2, 8). So, you have:

Midpoint = ((x + (-2)) / 2, (y + 8) / 2)

Now, you can plug in the values for the midpoint:

5 = (x - 2) / 2

-8 = (y + 8) / 2

First, solve for x:

5 = (x - 2) / 2

Multiply both sides by 2 to isolate x:

10 = x - 2

Now, add 2 to both sides to find x:

x = 10 + 2

x = 12

Now that you have x, you can solve for y using the second equation:

-8 = (y + 8) / 2

Multiply both sides by 2 to isolate y:

-16 = y + 8

Subtract 8 from both sides to find y:

y = -16 - 8

y = -24

So, the coordinates of point S are (12, -24).