Point T bisects RS. If R(-2,-5) and S(-14,-21), find the coordinates of point T.
so T is the midpoint
T = ( (-2-14)/2 , (-5-21)/2 )
= (-8 , -13)
To find the coordinates of point T, we need to determine the midpoint of RS since T is the bisector.
The midpoint formula states that the coordinates of the midpoint (M) of a line segment with endpoints (x₁, y₁) and (x₂, y₂) are given by the following formulas:
x-coordinate of midpoint (M) = (x₁ + x₂) / 2
y-coordinate of midpoint (M) = (y₁ + y₂) / 2
Let's use the formula to find the coordinates of point T:
x-coordinate of midpoint (T) = (-2 + (-14)) / 2 = (-2 -14) / 2 = -16 / 2 = -8
y-coordinate of midpoint (T) = (-5 + (-21)) / 2 = (-5 -21) / 2 = -26 / 2 = -13
Therefore, the coordinates of point T are (-8, -13).