QuestionFind the midpoint $M$ of the line segment with endpoints $G(5,4)$ and $H(7,4)$ . Write $M$ as decimals or integers. $M=$

Studdy Solution

STEP 1

Assumptions1. The points $G(5,4)$ and $H(7,4)$ are the endpoints of a line segment. . We are looking for the coordinates of the midpoint, $M$ , of this line segment.
3. The formula for the midpoint of a line segment with endpoints $(x1, y1)$ and $(x, y)$ is $M = \left(\frac{x1+x}{}, \frac{y1+y}{}\right)$ .

STEP 2

First, we need to find the x-coordinate of the midpoint. We can do this by adding the x-coordinates of the endpoints and dividing by2.
$M_x = \frac{x1+x2}{2}$

STEP 3

Now, plug in the given values for the x-coordinates of the endpoints to calculate the x-coordinate of the midpoint.
$M_x = \frac{5+7}{2}$

STEP 4

Calculate the x-coordinate of the midpoint.
$M_x = \frac{+7}{2} =6$

STEP 5

Next, we need to find the y-coordinate of the midpoint. We can do this by adding the y-coordinates of the endpoints and dividing by2.
$M_y = \frac{y1+y2}{2}$

STEP 6

Now, plug in the given values for the y-coordinates of the endpoints to calculate the y-coordinate of the midpoint.
$M_y = \frac{4+4}{2}$

STEP 7

Calculate the y-coordinate of the midpoint.
$M_y = \frac{4+4}{2} =4$

STEP 8

Now that we have the x-coordinate and y-coordinate of the midpoint, we can write the coordinates of the midpoint, $M$ .
$M = (M_x, M_y)$

STEP 9

Plug in the values for the x-coordinate and y-coordinate of the midpoint to write the coordinates of the midpoint.
$M = (6,4)$ The coordinates of the midpoint, $M$ , of the line segment with endpoints $G(5,4)$ and $H(7,4)$ are $(6,4)$ .

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QuestionFind the midpoint $M$ of the line segment with endpoints $G(5,4)$ and $H(7,4)$ . Write $M$ as decimals or integers. $M=$

Studdy Solution

STEP 1

STEP 2

First, we need to find the x-coordinate of the midpoint. We can do this by adding the x-coordinates of the endpoints and dividing by2.
$M_x = \frac{x1+x2}{2}$

STEP 3

Now, plug in the given values for the x-coordinates of the endpoints to calculate the x-coordinate of the midpoint.
$M_x = \frac{5+7}{2}$

STEP 4

Calculate the x-coordinate of the midpoint.
$M_x = \frac{+7}{2} =6$

STEP 5

Next, we need to find the y-coordinate of the midpoint. We can do this by adding the y-coordinates of the endpoints and dividing by2.
$M_y = \frac{y1+y2}{2}$

STEP 6

Now, plug in the given values for the y-coordinates of the endpoints to calculate the y-coordinate of the midpoint.
$M_y = \frac{4+4}{2}$

STEP 7

Calculate the y-coordinate of the midpoint.
$M_y = \frac{4+4}{2} =4$

STEP 8

Now that we have the x-coordinate and y-coordinate of the midpoint, we can write the coordinates of the midpoint, $M$ .
$M = (M_x, M_y)$

STEP 9

Plug in the values for the x-coordinate and y-coordinate of the midpoint to write the coordinates of the midpoint.
$M = (6,4)$ The coordinates of the midpoint, $M$ , of the line segment with endpoints $G(5,4)$ and $H(7,4)$ are $(6,4)$ .

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QuestionFind the midpoint MMM of the line segment with endpoints G(5,4)G(5,4)G(5,4) and H(7,4)H(7,4)H(7,4). Write MMM as decimals or integers. M=M= M=

Studdy Solution

STEP 1

STEP 2

First, we need to find the x-coordinate of the midpoint. We can do this by adding the x-coordinates of the endpoints and dividing by2.Mx=x1+x22M_x = \frac{x1+x2}{2}Mx​=2x1+x2​

STEP 3

Now, plug in the given values for the x-coordinates of the endpoints to calculate the x-coordinate of the midpoint.Mx=5+72M_x = \frac{5+7}{2}Mx​=25+7​

STEP 4

Calculate the x-coordinate of the midpoint.Mx=+72=6M_x = \frac{+7}{2} =6Mx​=2+7​=6

STEP 5

Next, we need to find the y-coordinate of the midpoint. We can do this by adding the y-coordinates of the endpoints and dividing by2.My=y1+y22M_y = \frac{y1+y2}{2}My​=2y1+y2​

STEP 6

Now, plug in the given values for the y-coordinates of the endpoints to calculate the y-coordinate of the midpoint.My=4+42M_y = \frac{4+4}{2}My​=24+4​

STEP 7

Calculate the y-coordinate of the midpoint.My=4+42=4M_y = \frac{4+4}{2} =4My​=24+4​=4

STEP 8

Now that we have the x-coordinate and y-coordinate of the midpoint, we can write the coordinates of the midpoint, MMM.M=(Mx,My)M = (M_x, M_y)M=(Mx​,My​)

STEP 9

Plug in the values for the x-coordinate and y-coordinate of the midpoint to write the coordinates of the midpoint.M=(6,4)M = (6,4)M=(6,4)The coordinates of the midpoint, MMM, of the line segment with endpoints G(5,4)G(5,4)G(5,4) and H(7,4)H(7,4)H(7,4) are (6,4)(6,4)(6,4).

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QuestionFind the midpoint $M$ of the line segment with endpoints $G(5,4)$ and $H(7,4)$ . Write $M$ as decimals or integers. $M=$

First, we need to find the x-coordinate of the midpoint. We can do this by adding the x-coordinates of the endpoints and dividing by2.
$M_x = \frac{x1+x2}{2}$

Now, plug in the given values for the x-coordinates of the endpoints to calculate the x-coordinate of the midpoint.
$M_x = \frac{5+7}{2}$

Calculate the x-coordinate of the midpoint.
$M_x = \frac{+7}{2} =6$

Next, we need to find the y-coordinate of the midpoint. We can do this by adding the y-coordinates of the endpoints and dividing by2.
$M_y = \frac{y1+y2}{2}$

Now, plug in the given values for the y-coordinates of the endpoints to calculate the y-coordinate of the midpoint.
$M_y = \frac{4+4}{2}$

Calculate the y-coordinate of the midpoint.
$M_y = \frac{4+4}{2} =4$

Now that we have the x-coordinate and y-coordinate of the midpoint, we can write the coordinates of the midpoint, $M$ .
$M = (M_x, M_y)$

Plug in the values for the x-coordinate and y-coordinate of the midpoint to write the coordinates of the midpoint.
$M = (6,4)$ The coordinates of the midpoint, $M$ , of the line segment with endpoints $G(5,4)$ and $H(7,4)$ are $(6,4)$ .