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Sagot :
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
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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