Given the initial point( x₁,y₁) and the final point( x₂,y₂ ), the midpoint of the line is ( 1, 1 ).
What is the midpoint of the line in the graph?
From the graph;
- Point 1 : ( x₁ = 0, y₁ = 4 )
- Point 2: ( x₂ = 2, y₂ = -2 )
- Midpoint = ?
Using midpoint formula;
[tex]( \frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
We substitute in our values
[tex]( \frac{0+2}{2},\frac{4+(-2)}{2}) \\\\( \frac{2}{2},\frac{4-2)}{2}) \\\\( \frac{2}{2},\frac{2}{2}) \\\\( 1, 1 )[/tex]
Given the initial point( x₁,y₁) and the final point( x₂,y₂ ), the midpoint of the line is ( 1, 1 ).
Learn more about midpoints here: https://brainly.com/question/4747771
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