What is the midpoint between the coordinate points (-6, 7) and (-2, -3)?

Prepare for the Academic Team Math Test with our comprehensive quizzes. Master complex problems with flashcards and multiple-choice questions, each featuring detailed hints and explanations. Ace your exam and boost your math skills!

Multiple Choice

What is the midpoint between the coordinate points (-6, 7) and (-2, -3)?

Explanation:
To find the midpoint between the two coordinate points (-6, 7) and (-2, -3), you can use the midpoint formula, which is given by: \[ \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \] Here, \( (x_1, y_1) \) is the first point (-6, 7), and \( (x_2, y_2) \) is the second point (-2, -3). First, calculate the x-coordinate of the midpoint: \[ \frac{-6 + (-2)}{2} = \frac{-8}{2} = -4 \] Next, calculate the y-coordinate of the midpoint: \[ \frac{7 + (-3)}{2} = \frac{4}{2} = 2 \] Combining both results gives the midpoint as the coordinate point (-4, 2). This confirms that the correct answer is indeed (-4, 2). Each of the other choices does not yield the right calculations from the given points, therefore they cannot represent the midpoint. The selected answer correctly

To find the midpoint between the two coordinate points (-6, 7) and (-2, -3), you can use the midpoint formula, which is given by:

[

\left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)

]

Here, ( (x_1, y_1) ) is the first point (-6, 7), and ( (x_2, y_2) ) is the second point (-2, -3).

First, calculate the x-coordinate of the midpoint:

[

\frac{-6 + (-2)}{2} = \frac{-8}{2} = -4

]

Next, calculate the y-coordinate of the midpoint:

[

\frac{7 + (-3)}{2} = \frac{4}{2} = 2

]

Combining both results gives the midpoint as the coordinate point (-4, 2). This confirms that the correct answer is indeed (-4, 2).

Each of the other choices does not yield the right calculations from the given points, therefore they cannot represent the midpoint. The selected answer correctly

Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy