Questions: Find the coordinates of the midpoint of the line segment connecting the two points. (Enter as whole number or fraction as necessary.) (x, y)=( )

$Find the coordinates of the midpoint of the line segment connecting the two points. (Enter as whole number or fraction as necessary.) (x, y)=( )$

Transcript text: Find the coordinates of the midpoint of the line segment connecting the two points. (Enter as whole number or fraction as necessary.) \[ (x, y)=(\square) \]

Solution

Solution Steps

Step 1: Identify the coordinates of the two points.

The two points are $(-5, 1)$ and $(-4, -1)$.

Step 2: Apply the midpoint formula.

The midpoint formula is given by: \[M = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)\]

Step 3: Calculate the x-coordinate of the midpoint.

The x-coordinate of the midpoint is: \[\frac{-5 + (-4)}{2} = \frac{-9}{2} = -4.5\]

Step 4: Calculate the y-coordinate of the midpoint.

The y-coordinate of the midpoint is: \[\frac{1 + (-1)}{2} = \frac{0}{2} = 0\]

Final Answer

The midpoint of the line segment is $(-9/2, 0)$ or $\boxed{(-4.5, 0)}$.

Was this solution helpful?

Unhelpful

Helpful

Questions asked by other users

Next >

Thank you for your feedback.

Copied!