Question

Question

Use the image to answer the question.

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

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 has already made a mistake. He should have calculated 6.4+2.5=8.9.
Fernando has already made a mistake. He should have calculated 6.4 plus 2.5 equals 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 subtracted the x -values to get 8.9.
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Answer 1

To find the midpoint of the line segment \( \overline{AB} \), the formula is:

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

From the information provided, it seems Fernando is incorrectly calculating the x-coordinate of the midpoint.

If he has already calculated \( 6.4 + (-2.5) = 3.9 \), that indicates he is adding the x-coordinates of points A and B. The next step should be to divide that result by 2 to find the average. However, it appears he has incorrectly calculated \( 6.4 + (-2.5) \) without including the division by 2.

Therefore, the most appropriate response is:

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