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H is the midpoint of KL.
K(-3,-4);L(9,2); find the
coordinates of H.

Sagot :

bosm93

Answer:

H(3,-1)

Step-by-step explanation:

To find midpoint you have to get first coordinates of both points and divide it by 2. So (-3+9)/2 = 3 and (-4+2)/2 = - 1

amysun2025

Answer:

H(3, -1)

Step-by-step explanation:

Hi there!

We are given that there is a line segment KL, H is the midpoint of KL, and also the coordinates of K are (-3, -4), while the coordinates of L are (9, 2).

We want to find the coordinates of H

As H is the midpoint of KL, we can use the midpoint formula to find the coordinates of H

The midpoint formula is given as [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 coordinates K and L to avoid confusion:

[tex]x_1=-3\\y_1=-4\\x_2=9\\y_2=2[/tex]

Now substitute those values into the formula:

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

[tex](\frac{-3+9}{2}, \frac{-4+2}{2})[/tex]

Simplify

[tex](\frac{6}{2}, \frac{-2}{2})[/tex]

Divide

(3, -1)

The coordinates of H are (3, -1)

Hope this helps!

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