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

Find The Midpoint Of The Line Segment Joining The Points C 47 And D 23 class=

Sagot :

Amysun2025idn

Answer:

(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 [tex](\frac{x_1 + x_2}{2}, \frac{y_1+y_2}{2})[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] 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

[tex]x_1=4\\y_1=7\\x_2=-2\\y_2=-3[/tex]

Now substitute into the formula

[tex](\frac{x_1 + x_2}{2}, \frac{y_1+y_2}{2})[/tex]

[tex](\frac{4+ -2 }{2}, \frac{7+-3}{2})[/tex]

The pluses can be replaced with minus signs:

[tex](\frac{4 -2 }{2}, \frac{7-3}{2})[/tex]

Now subtract

[tex](\frac{2 }{2}, \frac{4}{2})[/tex]

Divide

(1,2)

The midpoint is (1, 2)

Hope this helps!

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