What are the domain and range of the function on the graph?
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If the midpoint of segment lm where j(5, -1) and m(0, 6), then the coordinates of end point l is (10,-8)..
Midpoint:
Midpoint of a line segment is the point that is halfway between the endpoints of the line segment.
The formula for the midpoint is,
where,
= coordinates of the midpoint
(x₁, y₁) = coordinates of the first point
(x₂, y₂) = coordinates of the second point
Given,
Midpoint = j = (5,-1)
Second point = m = (0,6)
Now, we have to find the first midpoint l.
Let (x,y) be the coordinates of l.
Then apply the values on the formula,
Then we get,
Compare the values in order to find the coordinates,
=> 5 = (x + 0) / 2
=> 5 x 2 = x + 0
=> 10 = x
Similarly,
=> -1 = (y + 6) / 2
=> -1 x 2 = y + 6
=> -2 = y + 6
=> -2 - 6 = y
=> y = -8
Therefore, the coordinates of l is (10,-8).
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