Question

R(-6, 1), S(-3, -3)
Find the coordinates of the midpoint of a segment with given endpoints

Answer 1

Answer:

$\boxed {\boxed {\sf ( - \frac{9}{2}, -1) \ or \ (-4.5, -1) }}$

Step-by-step explanation:

We are asked to find the midpoint of a line segment. When you find the midpoint, you essentially find the average of the x-coordinates and the y-coordinates. The midpoint formula is:

$(\frac {x_2+x_1)}{2}, \frac{y_2+y_1}{2})$

In this formula, (x₁, y₁) and (x₂, y₂) are the endpoints of the line segment. we are given the endpoints R (-6, 1) and S (-3, -3). If we match the value and the corresponding variable we see that:

• x₁= -6
• y₁= 1
• x₂= -3
• y₂= -3

Substitute the values into the formula.

$( \frac{-3 + -6}{2} , \frac{ 1+ -3}{2} )$

Solve the numerators.

• -3 + -6 = -9
• 1 + -3 = -2

$(\frac {-9}{2}, \frac {-2}{2})$

Divide.

$( - \frac {9}{2}, -1})$

The fraction can also be written as a decimal.

$(-4.5 , -1)$

The midpoint of the line segment RS is (-9/2, -1) or (-4.5, -1).