Question

What is the midpoint of the segment shown below? (5,4) (5,-3)

Answer 1

The midpoint is (5, ¹/₂).

Further explanation

The midpoint is the coordinates of a point right in the middle of a line segment or two endpoints.

The Midpoint Formula $\boxed{\boxed{ \ M = \bigg( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \bigg) \ }}$

So, abscissa and ordinate of the midpoint are the averages of both endpoints. i.e., (x₁, y₁) and (x₂, y₂).

Given (x₁, y₁) = (5, 4) and (x₂, y₂) = (5, -3).

Let's calculate the midpoint.

$\boxed{ \ M = \bigg( \frac{5 + 5}{2}, \frac{4 + (-3)}{2} \bigg) \ }$

$\boxed{ \ M = \bigg( \frac{10}{2}, \frac{1}{2} \bigg) \ }$

$\boxed{ \ M = \bigg( 5, \frac{1}{2} \bigg) \ }$

We get the midpoint between the two endpoints, that is, (5, ¹ / ₂).

Learn more

1. Finding a line that is not parallel to either the x-axis or the y-axis and passes through a point brainly.com/question/4691222
2. Finding the equation, in slope-intercept form, of the line that is parallel to the given line and passes through a point brainly.com/question/1473992
3. A line segment is a piece of a line with two endpoints brainly.com/question/909890

Keywords: the midpoint, the line segment, endpoints, in the middle, between, average, abscissa and ordinate, the coordinates