Question

Points R and T are plotted on the coordinate grid

In the right triangle RST, point T is graphed at (2,-3) and point R is graphed at (-1,1)
Which coordinate pair describes the location of point S?

Answer 1

Answer: (1/2, -1)

Step-by-step explanation: The coordinates of point S can be found using the midpoint formula for the hypotenuse RT, since S is the midpoint of RT. The midpoint formula is:

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

Using the coordinates of R and T, we get:

Midpoint of RT = ( (-1 + 2)/2 , (1 - 3)/2 )

= (1/2, -1)

Therefore, the location of point S is (1/2, -1).