26. Points $R, S$, and $T$ have the coordinates $R(-4,2), S(-14,10)$, and $T(2,23)$. Together the points make a triangle. If the triangle was translated so that point $R$ ended up at the coordinates $(-19,14)$ what would be the new coordinates of hoint $S$ ? $(-21,19)$ $(-35,30)$ $(-29,22)$ $(-32,16)$

Step 1 ：The problem is asking for the new coordinates of point S after a translation that moves point R from (-4,2) to (-19,14).

Step 2 ：To find the new coordinates of point S, we need to determine the change in the x and y coordinates that resulted from the translation of point R and apply the same change to the coordinates of point S.

Step 3 ：The change in the x-coordinate from the translation of point R is \(-19 - (-4) = -15\). The change in the y-coordinate from the translation of point R is \(14 - 2 = 12\).

Step 4 ：So, to find the new coordinates of point S, we subtract 15 from its x-coordinate and add 12 to its y-coordinate.

Step 5 ：Let's calculate: S = (-14, 10), delta_x = -15, delta_y = 12, new_S = (-29, 22)

Step 6 ：Final Answer: The new coordinates of point S after the translation are \(\boxed{(-29, 22)}\).