Question

what is the midpoint of (2,3) and (11,16)

Answer 1

Answer: Midpoint = (11.5, 14.5)

Concept:

Here, we need to know the idea of the midpoint formula.

$Midpoint=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )$

Solve:

Given information

(x₁. y₁) = (2, 3)

(x₂, y₂) = (11, 16)

Given expression

$Midpoint=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )$

Substitute values into the expression

$Midpoint=(\frac{2+11}{2}, \frac{3+16}{2} )$

Simplify the numerator by addition

$Midpoint=(\frac{13}{2}, \frac{19}{2} )$

Simplify by division

$\boxed{Midpoint=(11.5, 14.5 )}$

Hope this helps!! :)

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