Math / Geometry

QuestionFind the coordinates of the midpoint of the line segment juith the endpoints $R(-5,-7)$ and $S(2,-4)$ .
The midpoint is $\square$ , $\square$ ).

Studdy Solution

STEP 1

What is this asking? Find the middle point of a line connecting two points on a graph. Watch out! Don't mix up the $x$ and $y$ coordinates!
And remember, the midpoint formula averages the coordinates, it doesn't just add them.

STEP 2

1. Find the $x$ -coordinate of the midpoint.
2. Find the $y$ -coordinate of the midpoint.
3. Combine the coordinates.

STEP 3

Alright, let's start with the $x$ -coordinates!
We've got $-5$ and $2$ .
The midpoint formula is all about finding the average, so we add them together and divide by $2$ .

STEP 4

$\frac{-5 + 2}{2} = \frac{-3}{2} = -1.5$ So, the $x$ -coordinate of our midpoint is $-1.5$ .
Awesome!

STEP 5

Now, let's do the same thing for the $y$ -coordinates!
We have $-7$ and $-4$ .
Remember, we add them together and divide by $2$ to find the average.

STEP 6

$\frac{-7 + (-4)}{2} = \frac{-11}{2} = -5.5$ So, the $y$ -coordinate of our midpoint is $-5.5$ .
Fantastic!

STEP 7

Now, we just put the $x$ and $y$ coordinates together to get our midpoint!

STEP 8

The $x$ -coordinate is $-1.5$ and the $y$ -coordinate is $-5.5$ , so our midpoint is $(-1.5, -5.5)$ .
We did it!

STEP 9

The midpoint is $(-1.5, -5.5)$ .

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QuestionFind the coordinates of the midpoint of the line segment juith the endpoints $R(-5,-7)$ and $S(2,-4)$ .
The midpoint is $\square$ , $\square$ ).

Studdy Solution

STEP 1

What is this asking? Find the middle point of a line connecting two points on a graph. Watch out! Don't mix up the $x$ and $y$ coordinates!
And remember, the midpoint formula averages the coordinates, it doesn't just add them.

STEP 2

1. Find the $x$ -coordinate of the midpoint.
2. Find the $y$ -coordinate of the midpoint.
3. Combine the coordinates.

STEP 3

Alright, let's start with the $x$ -coordinates!
We've got $-5$ and $2$ .
The midpoint formula is all about finding the average, so we add them together and divide by $2$ .

STEP 4

$\frac{-5 + 2}{2} = \frac{-3}{2} = -1.5$ So, the $x$ -coordinate of our midpoint is $-1.5$ .
Awesome!

STEP 5

Now, let's do the same thing for the $y$ -coordinates!
We have $-7$ and $-4$ .
Remember, we add them together and divide by $2$ to find the average.

STEP 6

$\frac{-7 + (-4)}{2} = \frac{-11}{2} = -5.5$ So, the $y$ -coordinate of our midpoint is $-5.5$ .
Fantastic!

STEP 7

Now, we just put the $x$ and $y$ coordinates together to get our midpoint!

STEP 8

The $x$ -coordinate is $-1.5$ and the $y$ -coordinate is $-5.5$ , so our midpoint is $(-1.5, -5.5)$ .
We did it!

STEP 9

The midpoint is $(-1.5, -5.5)$ .

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QuestionFind the coordinates of the midpoint of the line segment juith the endpoints R(−5,−7)R(-5,-7)R(−5,−7) and S(2,−4)S(2,-4)S(2,−4).The midpoint is □\square□ , □\square□ ).

Studdy Solution

STEP 1

What is this asking? Find the middle point of a line connecting two points on a graph. Watch out! Don't mix up the xxx and yyy coordinates!And remember, the midpoint formula averages the coordinates, it doesn't just add them.

STEP 2

1. Find the xxx-coordinate of the midpoint.2. Find the yyy-coordinate of the midpoint.3. Combine the coordinates.

STEP 3

Alright, let's **start** with the xxx-coordinates!We've got −5-5−5 and 222.The midpoint formula is all about finding the average, so we **add** them together and **divide** by 222.

STEP 4

−5+22=−32=−1.5 \frac{-5 + 2}{2} = \frac{-3}{2} = -1.5 2−5+2​=2−3​=−1.5 So, the xxx-coordinate of our midpoint is −1.5-1.5−1.5.Awesome!

STEP 5

Now, let's do the same thing for the yyy-coordinates!We have −7-7−7 and −4-4−4.Remember, we **add** them together and **divide** by 222 to find the average.

STEP 6

−7+(−4)2=−112=−5.5 \frac{-7 + (-4)}{2} = \frac{-11}{2} = -5.5 2−7+(−4)​=2−11​=−5.5 So, the yyy-coordinate of our midpoint is −5.5-5.5−5.5.Fantastic!

STEP 7

Now, we just put the xxx and yyy coordinates together to get our midpoint!

STEP 8

The xxx-coordinate is −1.5-1.5−1.5 and the yyy-coordinate is −5.5-5.5−5.5, so our **midpoint** is (−1.5,−5.5)(-1.5, -5.5)(−1.5,−5.5).We did it!

STEP 9

The midpoint is (−1.5,−5.5)(-1.5, -5.5)(−1.5,−5.5).

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QuestionFind the coordinates of the midpoint of the line segment juith the endpoints $R(-5,-7)$ and $S(2,-4)$ .
The midpoint is $\square$ , $\square$ ).

What is this asking? Find the middle point of a line connecting two points on a graph. Watch out! Don't mix up the $x$ and $y$ coordinates!
And remember, the midpoint formula averages the coordinates, it doesn't just add them.

1. Find the $x$ -coordinate of the midpoint.
2. Find the $y$ -coordinate of the midpoint.
3. Combine the coordinates.

Alright, let's start with the $x$ -coordinates!
We've got $-5$ and $2$ .
The midpoint formula is all about finding the average, so we add them together and divide by $2$ .

$\frac{-5 + 2}{2} = \frac{-3}{2} = -1.5$ So, the $x$ -coordinate of our midpoint is $-1.5$ .
Awesome!

Now, let's do the same thing for the $y$ -coordinates!
We have $-7$ and $-4$ .
Remember, we add them together and divide by $2$ to find the average.

$\frac{-7 + (-4)}{2} = \frac{-11}{2} = -5.5$ So, the $y$ -coordinate of our midpoint is $-5.5$ .
Fantastic!

Now, we just put the $x$ and $y$ coordinates together to get our midpoint!

The $x$ -coordinate is $-1.5$ and the $y$ -coordinate is $-5.5$ , so our midpoint is $(-1.5, -5.5)$ .
We did it!

The midpoint is $(-1.5, -5.5)$ .