Line segment upper A upper B is plotted on a coordinate plane. The x-axis ranges from 0 to 7 and the y-axis ranges from negative 3 to 7 both in one unit increments.

Question

Using this graph, how would adding 6+2 then dividing by 2 help you find the midpoint of line AB¯¯¯¯¯¯¯¯ ?

(1 point)
Responses

It finds the distance between points A and B.
It finds the distance between points A and B.

It finds the average distance between the two x-values of points A and B.
It finds the average distance between the two x -values of points A and B.

It finds the average distance between the two y-values of points A and B.
It finds the average distance between the two y -values of points A and B.

It finds the sole midpoint of points A and B.

Answer 1

To find the midpoint of line segment \( \overline{AB} \) on a coordinate plane, you would take the average of the x-coordinates and the average of the y-coordinates of points A and B.

In this context, if you have points A and B with x-coordinates 6 and 2, respectively, and you add them together (6 + 2) and then divide by 2, you are calculating the average of the two x-coordinates. This gives you the x-coordinate of the midpoint.

Therefore, the correct response would be:

It finds the average distance between the two x-values of points A and B.

Answer 2

Line segment upper J upper K slants down left to right on a coordinate plane. The x-axis ranges from negative 7 to 5 and y-axis ranges from 0 to 8 both in 1 unit increments.
Does adding 7+2 and then dividing by 2 help you find the find midpoint of line segment JK¯¯¯¯¯¯¯¯ ?

(1 point)
Responses

No because (7,2) is not the coordinate of point J or K.
No because open paren 7 comma 2 close paren is not the coordinate of point J or K.

Yes because (7+2)÷2 calculates the average, or midpoint, of the x-coordinates of points J and K.
Yes because open paren 7 plus 2 close paren divided by 2 calculates the average, or midpoint, of the x -coordinates of points J and K.

No because 7 should be added to 3, then multiplied by 2 to find the midpoint.
No because 7 should be added to 3, then multiplied by 2 to find the midpoint.

Yes because (7+2)÷2 calculates the average, or midpoint, of the y-coordinates of points J and K.

Answer 3

To determine if adding \(7+2\) and then dividing by 2 helps find the midpoint of line segment \( \overline{JK} \), we need to consider what those values represent.

The statement suggests that \(7\) and \(2\) are the x or y coordinates of points \(J\) and \(K\). However, without knowing the actual coordinates of \(J\) and \(K\), we cannot definitively say that \(7\) and \(2\) are the coordinates of those points.

Assuming \(7\) and \(2\) are not the coordinates of points \(J\) and \(K\), the correct response would be:

No because (7, 2) is not the coordinate of point J or K.

This response accurately reflects that the calculation does not pertain to finding the midpoint of the endpoints of the segment \(JK\).

Answer 4

Line segment upper A upper B slants up left to right on a coordinate plane. The x-axis ranges from negative 5 to 8 and the y-axis ranges from negative 5 to 4 both in 1 unit increments.
To find the midpoint of line segment AB¯¯¯¯¯¯¯¯ , Fernando calculated 6.4+(−2.5)=3.9 . What should his next step be?

(1 point)
Responses

Fernando should divide 3.9 by 2, then repeat both steps using the y-values.
Fernando should divide 3.9 by 2, then repeat both steps using the y -values.

Fernando should subtract the y-values.
Fernando should subtract the y -values.

Fernando has already made a mistake. He should have subtracted the x-values to get 8.9.
Fernando has already made a mistake. He should have subtracted the x -values to get 8.9.

Fernando has already made a mistake. He should have calculated 6.4+2.5=8.9.

Answer 5

To find the midpoint of a line segment on a coordinate plane, you need to calculate the average of the x-coordinates and the average of the y-coordinates of the endpoints.

Fernando calculated \(6.4 + (-2.5) = 3.9\). It seems that he is trying to find the sum of the x-values (or perhaps y-values, but given the values it seems more likely to be x) and has not yet divided by 2.

The next correct step would be to divide the sum he obtained (3.9) by 2 to find the average of the x-values. After that, he would need to repeat the same process using the y-values.

Therefore, the correct response is:

Fernando should divide 3.9 by 2, then repeat both steps using the y-values.

Answer 6

A line segment on a coordinate plane. The x-axis ranges from negative 2 to 5 in unit increments. The y-axis ranges from negative 3 to 3 in unit increments. The line extends downward from point upper A on the top left, to point upper B on the bottom right.
Calculate midpoint M of segment AB¯¯¯¯¯¯¯¯ .

(1 point)
Responses

M is located at (3,0).
upper M is located at left parenthesis 3 comma 0 right parenthesis .

M is located at (−2.5,2).
upper M is located at left parenthesis negative 2.5 comma 2 right parenthesis .

M is located at (0.5,1).
upper M is located at left parenthesis 0.5 comma 1 right parenthesis .

M is located at (1.5,0).

Answer 7

To find the midpoint \( M \) of a line segment \( \overline{AB} \), you need the coordinates of points \( A \) and \( B \). The midpoint \( M \) can be calculated using the formula:

\[ M = \left( \frac{x_A + x_B}{2}, \frac{y_A + y_B}{2} \right) \]

Without the specific coordinates of points \( A \) and \( B \), I cannot directly calculate the midpoint for you. However, if you provide the coordinates \( (x_A, y_A) \) for point \( A \) and \( (x_B, y_B) \) for point \( B \), I can assist you in calculating the midpoint.

If you want to determine which of the given options is correct (M is located at (3,0), M is located at (-2.5,2), M is located at (0.5,1), or M is located at (1.5,0)), please provide the coordinates of points \( A \) and \( B \).