The coordinates of the mid-point of BC are ((2+a)/2, (5+b)/2).
Given that, C is the point on the line y = 2x + 1 where x = 2.
We need to find the coordinates of the mid-point of BC.
<h3>What is the formula to find the midpoint of a line segment with the coordinates?</h3>
The formula to find the midpoint of a line segment with the coordinates is .
Now, substitute x=2 in equation y = 2x + 1.
We get, y=2(2)+1=5
So, the coordinates of B are (2, 5) and take the coordinates of C as (a, b)
By using the midpoint formula, we can find the coordinates of the midpoint of line BC.
Thus, (x,y)=((2+a)/2, (5+b)/2)
Therefore, the coordinates of the mid-point of BC are ((2+a)/2, (5+b)/2).
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