Answer:
Q1. [tex](-\frac{3}{2},0)[/tex]
Q2. (-16, 0)
Step-by-step explanation:
The midpoint of a line segment is given by the formula:
[tex]\boxed{\text{Midpoint}=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )}[/tex]
In the formula, [tex](x_1,y_1)[/tex] is the first endpoint while [tex](x_2,y_2)[/tex] is the second endpoint of the line segment.
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Q1. Substitute the given endpoints into the formula:
Midpoint
[tex]=(\frac{-5+2}{2} ,\frac{5-5}{2} )[/tex]
[tex]=(\frac{-3}{2} ,\frac{0}{2} )[/tex]
[tex]= \bf{(-\frac{3}{2} ,0)}[/tex]
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Q2. Let the other endpoint be (x, y).
Substitute the given midpoint and one endpoint:
(-6, 4)=[tex](\frac{x+4}{2} ,\frac{y+8}{2} )[/tex]
Comparing the x-coordinate:
[tex]\frac{x+4}{2} =-6[/tex]
Multiply both sides by 2:
x +4= -12
Subtract 4 from both sides:
x= -12 -4
x= -16
Comparing the y-coordinate:
[tex]\frac{y+8}{2} =4[/tex]
Multiply both sides by 2:
y +8= 8
Subtract 8 on both sides:
y= 8 -8
y= 0
The coordinates of the other endpoint is thus (-16, 0).
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For more questions on midpoint, check out: https://brainly.com/question/17247547
