Answer:
The midpoint of the line segment is located at (-4, 4).
Step-by-step explanation:
We're given the coordinate points of a line that can help us find the midpoint.
The midpoint formula for a line is written as:
Additionally, we are given the coordinate points (5, -4) and (-13, 12). We can use these and label them with the (x, y) system so we can substitute them into the formula.
In math, a coordinate pair is written as (x, y). This is where cos = x and sin = y. If we are given two coordinate pairs, we can label them with the (x, y) system but also incorporating a subscript to distinguish the two x-values from each other as well as the y-values. We do this by turning the two x-values into x₁ and x₂ and the y-values follow the same protocol: y₁ and y₂.
Therefore, we can label our two coordinates:
<u>(5, -4)</u>
- x₁ = 5
- y₁ = -4
<u>(-13, 12)</u>
- x₂ = -13
- y₂ = 12
Now, we can place these values into the midpoint formula and simplify to find our midpoint.
Recall that the midpoint formula is:
Therefore, let's substitute these values.
Therefore, the midpoint of the line segment is located at (-4, 4), which is Option A.