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Find the midpoint of the line segment joining the points C= (4,7) and D= (-2,-3)

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(1, 2)

Step-by-step explanation:

Hi there!

We are given two points - (4, 7) and (-2, -3)

We want to find the midpoint between these two points

The midpoint can be found using the formula $$(\frac{x_1 + x_2}{2}, \frac{y_1+y_2}{2})$$, where $$(x_1, y_1)$$ and $$(x_2, y_2)$$ are points

We have everything we need to find the midpoint, but let's label the values of the points to avoid any confusion & mistakes

$$x_1=4\\y_1=7\\x_2=-2\\y_2=-3$$

Now substitute into the formula

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

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

The pluses can be replaced with minus signs:

$$(\frac{4 -2 }{2}, \frac{7-3}{2})$$

Now subtract

$$(\frac{2 }{2}, \frac{4}{2})$$

Divide

(1,2)

The midpoint is (1, 2)

Hope this helps!
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