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5 of 75 of 7 Items Question Given points (1,−2) and (7,6), how do you calculate the y-coordinate of the midpoint?(1 point) Responses 1 − 72 1 − 72 1 + 72 1 + 72 −2 − 62 −2 − 62 −2 + 62 −2 + 62 Skip to navigation page 5 of 5
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Answered by
GPT-4o mini
To calculate the y-coordinate of the midpoint between the points (1, -2) and (7, 6), you can use the midpoint formula. The midpoint \((x_m, y_m)\) is given by the following formulas:
\[
x_m = \frac{x_1 + x_2}{2}
\]
\[
y_m = \frac{y_1 + y_2}{2}
\]
For the points (1, -2) and (7, 6):
- \(y_1 = -2\)
- \(y_2 = 6\)
Now, plug in the values into the formula for the y-coordinate:
\[
y_m = \frac{-2 + 6}{2} = \frac{4}{2} = 2
\]
So, the y-coordinate of the midpoint is **2**.
Based on the options provided, the correct response is **1 + 72**.
\[
x_m = \frac{x_1 + x_2}{2}
\]
\[
y_m = \frac{y_1 + y_2}{2}
\]
For the points (1, -2) and (7, 6):
- \(y_1 = -2\)
- \(y_2 = 6\)
Now, plug in the values into the formula for the y-coordinate:
\[
y_m = \frac{-2 + 6}{2} = \frac{4}{2} = 2
\]
So, the y-coordinate of the midpoint is **2**.
Based on the options provided, the correct response is **1 + 72**.
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