Question

Use the image to answer the question.

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.

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 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.

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

To find the midpoint of a line segment represented by points J and K on a coordinate plane, you need the coordinates of both points J and K. The midpoint \(M\) is calculated using the formula:

\[ M = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right) \]

where \((x_1, y_1)\) are the coordinates of point J and \((x_2, y_2)\) are the coordinates of point K.

Based on your question, adding 7 and 2, and then dividing by 2 does not directly lead to finding the midpoint unless these numbers are the x-coordinates or y-coordinates of points J and K. Without additional context or the actual coordinates of points J and K, it is not possible to say definitively that adding 7 and 2 enables you to find the midpoint.

From the answer choices provided, the most accurate response regarding the calculation is:

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

This indicates that using the coordinates (7, 2) does not relate to points J and K as per the problem statement.